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0 400000 3196",[1415,1720],{"d":1721},"M702 80H40000040\nH742v3062l-4 4-4 4c-.667.7 -2 1.5-4 2.5s-4.167 1.833-6.5 2.5-5.5 1-9.5 1\nh-12l-28-84c-16.667-52-96.667 -294.333-240-727l-212 -643 -85 170\nc-4-3.333-8.333-7.667-13 -13l-13-13l77-155 77-156c66 199.333 139 419.667\n219 661 l218 661zM702 80H400000v40H742z",[579,1723,705],{"className":1724},[704],[579,1726,1728],{"className":1727},[647],[579,1729,1731],{"className":1730,"style":1545},[651],[579,1732],{},[564,1734,1735,1736,1764,1765,1793],{},"Dabei ist ",[579,1737,1739,1752],{"className":1738},[582],[579,1740,1742],{"className":1741},[586],[588,1743,1744],{"xmlns":590},[592,1745,1746,1750],{},[595,1747,1748],{},[605,1749,1283],{},[609,1751,1283],{"encoding":611},[579,1753,1755],{"className":1754,"ariaHidden":617},[616],[579,1756,1758,1761],{"className":1757},[621],[579,1759],{"className":1760,"style":865},[625],[579,1762,1283],{"className":1763},[630,674]," die Anzahl der möglichen Werte von 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und ",[579,1921,1923,1936],{"className":1922},[582],[579,1924,1926],{"className":1925},[586],[588,1927,1928],{"xmlns":590},[592,1929,1930,1934],{},[595,1931,1932],{},[601,1933,1875],{},[609,1935,1875],{"encoding":611},[579,1937,1939],{"className":1938,"ariaHidden":617},[616],[579,1940,1942,1945],{"className":1941},[621],[579,1943],{"className":1944,"style":1827},[625],[579,1946,1875],{"className":1947},[630]," Minuten haben den Mittelwert ",[579,1950,1952,1966],{"className":1951},[582],[579,1953,1955],{"className":1954},[586],[588,1956,1957],{"xmlns":590},[592,1958,1959,1964],{},[595,1960,1961],{},[601,1962,1963],{},"6",[609,1965,1963],{"encoding":611},[579,1967,1969],{"className":1968,"ariaHidden":617},[616],[579,1970,1972,1975],{"className":1971},[621],[579,1973],{"className":1974,"style":1827},[625],[579,1976,1963],{"className":1977},[630]," und die empirische Varianz ",[579,1980,1982,2025],{"className":1981},[582],[579,1983,1985],{"className":1984},[586],[588,1986,1987],{"xmlns":590},[592,1988,1989,2022],{},[595,1990,1991,1997,1999,2006,2008,2011,2015],{},[1297,1992,1993,1995],{},[605,1994,853],{},[601,1996,1303],{},[741,1998,1164],{},[598,2000,2001,2004],{},[601,2002,2003],{},"16",[601,2005,1875],{},[741,2007,1164],{},[601,2009,2010],{},"3,2",[2012,2013,2014],"mtext",{}," ",[1297,2016,2017,2020],{},[2012,2018,2019],{},"min",[601,2021,1303],{},[609,2023,2024],{"encoding":611},"s^2 = \\frac{16}{5} = 3{,}2\\,\\text{min}^2",[579,2026,2028,2074,2157],{"className":2027,"ariaHidden":617},[616],[579,2029,2031,2035,2065,2068,2071],{"className":2030},[621],[579,2032],{"className":2033,"style":2034},[625],"height:0.8141em;",[579,2036,2038,2041],{"className":2037},[630],[579,2039,853],{"className":2040},[630,674],[579,2042,2044],{"className":2043},[1078],[579,2045,2047],{"className":2046},[642],[579,2048,2050],{"className":2049},[647],[579,2051,2053],{"className":2052,"style":2034},[651],[579,2054,2056,2059],{"style":2055},"top:-3.063em;margin-right:0.05em;",[579,2057],{"className":2058,"style":1095},[659],[579,2060,2062],{"className":2061},[664,665,666,667],[579,2063,1303],{"className":2064},[630,667],[579,2066],{"className":2067,"style":1197},[1196],[579,2069,1164],{"className":2070},[1201],[579,2072],{"className":2073,"style":1197},[1196],[579,2075,2077,2080,2148,2151,2154],{"className":2076},[621],[579,2078],{"className":2079,"style":626},[625],[579,2081,2083,2086,2145],{"className":2082},[630],[579,2084],{"className":2085},[634,635],[579,2087,2089],{"className":2088},[598],[579,2090,2092,2137],{"className":2091},[642,643],[579,2093,2095,2134],{"className":2094},[647],[579,2096,2098,2112,2120],{"className":2097,"style":652},[651],[579,2099,2100,2103],{"style":655},[579,2101],{"className":2102,"style":660},[659],[579,2104,2106],{"className":2105},[664,665,666,667],[579,2107,2109],{"className":2108},[630,667],[579,2110,1875],{"className":2111},[630,667],[579,2113,2114,2117],{"style":677},[579,2115],{"className":2116,"style":660},[659],[579,2118],{"className":2119,"style":685},[684],[579,2121,2122,2125],{"style":688},[579,2123],{"className":2124,"style":660},[659],[579,2126,2128],{"className":2127},[664,665,666,667],[579,2129,2131],{"className":2130},[630,667],[579,2132,2003],{"className":2133},[630,667],[579,2135,705],{"className":2136},[704],[579,2138,2140],{"className":2139},[647],[579,2141,2143],{"className":2142,"style":712},[651],[579,2144],{},[579,2146],{"className":2147},[718,635],[579,2149],{"className":2150,"style":1197},[1196],[579,2152,1164],{"className":2153},[1201],[579,2155],{"className":2156,"style":1197},[1196],[579,2158,2160,2164,2168,2176,2179,2183],{"className":2159},[621],[579,2161],{"className":2162,"style":2163},[625],"height:1.0663em;vertical-align:-0.1944em;",[579,2165,2167],{"className":2166},[630],"3",[579,2169,2171],{"className":2170},[630],[579,2172,2175],{"className":2173},[2174],"mpunct",",",[579,2177,1303],{"className":2178},[630],[579,2180],{"className":2181,"style":2182},[1196],"margin-right:0.1667em;",[579,2184,2186,2193],{"className":2185},[630],[579,2187,2190],{"className":2188},[630,2189],"text",[579,2191,2019],{"className":2192},[630],[579,2194,2196],{"className":2195},[1078],[579,2197,2199],{"className":2198},[642],[579,2200,2202],{"className":2201},[647],[579,2203,2206],{"className":2204,"style":2205},[651],"height:0.8719em;",[579,2207,2209,2212],{"style":2208},"top:-3.1208em;margin-right:0.05em;",[579,2210],{"className":2211,"style":1095},[659],[579,2213,2215],{"className":2214},[664,665,666,667],[579,2216,1303],{"className":2217},[630,667]," (siehe empirische Varianz). Damit:",[579,2220,2222],{"className":2221},[1229],[579,2223,2225,2259],{"className":2224},[582],[579,2226,2228],{"className":2227},[586],[588,2229,2230],{"xmlns":590,"display":1238},[592,2231,2232,2256],{},[595,2233,2234,2236,2238,2242,2244,2246,2249,2252,2254],{},[605,2235,853],{},[741,2237,1164],{},[1248,2239,2240],{},[601,2241,2010],{},[2012,2243,2014],{},[2012,2245,2019],{},[741,2247,2248],{},"≈",[601,2250,2251],{},"1,79",[2012,2253,2014],{},[2012,2255,2019],{},[609,2257,2258],{"encoding":611},"s = \\sqrt{3{,}2}\\,\\text{min} \\approx 1{,}79\\,\\text{min}",[579,2260,2262,2280,2364],{"className":2261,"ariaHidden":617},[616],[579,2263,2265,2268,2271,2274,2277],{"className":2264},[621],[579,2266],{"className":2267,"style":865},[625],[579,2269,853],{"className":2270},[630,674],[579,2272],{"className":2273,"style":1197},[1196],[579,2275,1164],{"className":2276},[1201],[579,2278],{"className":2279,"style":1197},[1196],[579,2281,2283,2287,2346,2349,2355,2358,2361],{"className":2282},[621],[579,2284],{"className":2285,"style":2286},[625],"height:1.24em;vertical-align:-0.2811em;",[579,2288,2290],{"className":2289},[630,1358],[579,2291,2293,2337],{"className":2292},[642,643],[579,2294,2296,2334],{"className":2295},[647],[579,2297,2300,2321],{"className":2298,"style":2299},[651],"height:0.9589em;",[579,2301,2303,2306],{"className":2302,"style":1373},[1372],[579,2304],{"className":2305,"style":1377},[659],[579,2307,2309,2312,2318],{"className":2308,"style":1381},[630],[579,2310,2167],{"className":2311},[630],[579,2313,2315],{"className":2314},[630],[579,2316,2175],{"className":2317},[2174],[579,2319,1303],{"className":2320},[630],[579,2322,2324,2327],{"style":2323},"top:-2.9189em;",[579,2325],{"className":2326,"style":1377},[659],[579,2328,2330],{"className":2329,"style":1405},[1404],[1407,2331,2332],{"xmlns":1409,"width":1410,"height":1411,"viewBox":1412,"preserveAspectRatio":1413},[1415,2333],{"d":1417},[579,2335,705],{"className":2336},[704],[579,2338,2340],{"className":2339},[647],[579,2341,2344],{"className":2342,"style":2343},[651],"height:0.2811em;",[579,2345],{},[579,2347],{"className":2348,"style":2182},[1196],[579,2350,2352],{"className":2351},[630,2189],[579,2353,2019],{"className":2354},[630],[579,2356],{"className":2357,"style":1197},[1196],[579,2359,2248],{"className":2360},[1201],[579,2362],{"className":2363,"style":1197},[1196],[579,2365,2367,2371,2374,2380,2384,2387],{"className":2366},[621],[579,2368],{"className":2369,"style":2370},[625],"height:0.8623em;vertical-align:-0.1944em;",[579,2372,603],{"className":2373},[630],[579,2375,2377],{"className":2376},[630],[579,2378,2175],{"className":2379},[2174],[579,2381,2383],{"className":2382},[630],"79",[579,2385],{"className":2386,"style":2182},[1196],[579,2388,2390],{"className":2389},[630,2189],[579,2391,2019],{"className":2392},[630],[564,2394,2395,2396,2448,2449,1793],{},"Mit ",[579,2397,2399,2417],{"className":2398},[582],[579,2400,2402],{"className":2401},[586],[588,2403,2404],{"xmlns":590},[592,2405,2406,2414],{},[595,2407,2408,2410,2412],{},[605,2409,607],{},[741,2411,743],{},[601,2413,603],{},[609,2415,2416],{"encoding":611},"n - 1",[579,2418,2420,2439],{"className":2419,"ariaHidden":617},[616],[579,2421,2423,2427,2430,2433,2436],{"className":2422},[621],[579,2424],{"className":2425,"style":2426},[625],"height:0.6667em;vertical-align:-0.0833em;",[579,2428,607],{"className":2429},[630,674],[579,2431],{"className":2432,"style":1385},[1196],[579,2434,743],{"className":2435},[794],[579,2437],{"className":2438,"style":1385},[1196],[579,2440,2442,2445],{"className":2441},[621],[579,2443],{"className":2444,"style":1827},[625],[579,2446,603],{"className":2447},[630]," im Nenner wäre es ",[579,2450,2452,2480],{"className":2451},[582],[579,2453,2455],{"className":2454},[586],[588,2456,2457],{"xmlns":590},[592,2458,2459,2477],{},[595,2460,2461,2469,2471,2473,2475],{},[1248,2462,2463],{},[598,2464,2465,2467],{},[601,2466,2003],{},[601,2468,1815],{},[741,2470,1164],{},[601,2472,1303],{},[2012,2474,2014],{},[2012,2476,2019],{},[609,2478,2479],{"encoding":611},"\\sqrt{\\frac{16}{4}} = 2\\,\\text{min}",[579,2481,2483,2620],{"className":2482,"ariaHidden":617},[616],[579,2484,2486,2490,2611,2614,2617],{"className":2485},[621],[579,2487],{"className":2488,"style":2489},[625],"height:1.84em;vertical-align:-0.6049em;",[579,2491,2493],{"className":2492},[630,1358],[579,2494,2496,2602],{"className":2495},[642,643],[579,2497,2499,2599],{"className":2498},[647],[579,2500,2503,2582],{"className":2501,"style":2502},[651],"height:1.2351em;",[579,2504,2507,2511],{"className":2505,"style":2506},[1372],"top:-3.8em;",[579,2508],{"className":2509,"style":2510},[659],"height:3.8em;",[579,2512,2514],{"className":2513,"style":1381},[630],[579,2515,2517,2520,2579],{"className":2516},[630],[579,2518],{"className":2519},[634,635],[579,2521,2523],{"className":2522},[598],[579,2524,2526,2571],{"className":2525},[642,643],[579,2527,2529,2568],{"className":2528},[647],[579,2530,2532,2546,2554],{"className":2531,"style":652},[651],[579,2533,2534,2537],{"style":655},[579,2535],{"className":2536,"style":660},[659],[579,2538,2540],{"className":2539},[664,665,666,667],[579,2541,2543],{"className":2542},[630,667],[579,2544,1815],{"className":2545},[630,667],[579,2547,2548,2551],{"style":677},[579,2549],{"className":2550,"style":660},[659],[579,2552],{"className":2553,"style":685},[684],[579,2555,2556,2559],{"style":688},[579,2557],{"className":2558,"style":660},[659],[579,2560,2562],{"className":2561},[664,665,666,667],[579,2563,2565],{"className":2564},[630,667],[579,2566,2003],{"className":2567},[630,667],[579,2569,705],{"className":2570},[704],[579,2572,2574],{"className":2573},[647],[579,2575,2577],{"className":2576,"style":712},[651],[579,2578],{},[579,2580],{"className":2581},[718,635],[579,2583,2585,2588],{"style":2584},"top:-3.1951em;",[579,2586],{"className":2587,"style":2510},[659],[579,2589,2592],{"className":2590,"style":2591},[1404],"min-width:1.02em;height:1.88em;",[1407,2593,2596],{"xmlns":1409,"width":1410,"height":2594,"viewBox":2595,"preserveAspectRatio":1413},"1.88em","0 0 400000 1944",[1415,2597],{"d":2598},"M983 90\nl0 -0\nc4,-6.7,10,-10,18,-10 H400000v40\nH1013.1s-83.4,268,-264.1,840c-180.7,572,-277,876.3,-289,913c-4.7,4.7,-12.7,7,-24,7\ns-12,0,-12,0c-1.3,-3.3,-3.7,-11.7,-7,-25c-35.3,-125.3,-106.7,-373.3,-214,-744\nc-10,12,-21,25,-33,39s-32,39,-32,39c-6,-5.3,-15,-14,-27,-26s25,-30,25,-30\nc26.7,-32.7,52,-63,76,-91s52,-60,52,-60s208,722,208,722\nc56,-175.3,126.3,-397.3,211,-666c84.7,-268.7,153.8,-488.2,207.5,-658.5\nc53.7,-170.3,84.5,-266.8,92.5,-289.5z\nM1001 80h400000v40h-400000z",[579,2600,705],{"className":2601},[704],[579,2603,2605],{"className":2604},[647],[579,2606,2609],{"className":2607,"style":2608},[651],"height:0.6049em;",[579,2610],{},[579,2612],{"className":2613,"style":1197},[1196],[579,2615,1164],{"className":2616},[1201],[579,2618],{"className":2619,"style":1197},[1196],[579,2621,2623,2627,2630,2633],{"className":2622},[621],[579,2624],{"className":2625,"style":2626},[625],"height:0.6679em;",[579,2628,1303],{"className":2629},[630],[579,2631],{"className":2632,"style":2182},[1196],[579,2634,2636],{"className":2635},[630,2189],[579,2637,2019],{"className":2638},[630],[564,2640,2641,2642,2671,2672,1831,2712,2740,2741,1919,2780,2740,2808,2847,2848,3069],{},"Zufallsgröße: Ein Glücksrad zahlt ",[579,2643,2645,2659],{"className":2644},[582],[579,2646,2648],{"className":2647},[586],[588,2649,2650],{"xmlns":590},[592,2651,2652,2657],{},[595,2653,2654],{},[601,2655,2656],{},"0",[609,2658,2656],{"encoding":611},[579,2660,2662],{"className":2661,"ariaHidden":617},[616],[579,2663,2665,2668],{"className":2664},[621],[579,2666],{"className":2667,"style":1827},[625],[579,2669,2656],{"className":2670},[630]," € mit Wahrscheinlichkeit ",[579,2673,2675,2690],{"className":2674},[582],[579,2676,2678],{"className":2677},[586],[588,2679,2680],{"xmlns":590},[592,2681,2682,2687],{},[595,2683,2684],{},[601,2685,2686],{},"0,5",[609,2688,2689],{"encoding":611},"0{,}5",[579,2691,2693],{"className":2692,"ariaHidden":617},[616],[579,2694,2696,2700,2703,2709],{"className":2695},[621],[579,2697],{"className":2698,"style":2699},[625],"height:0.8389em;vertical-align:-0.1944em;",[579,2701,2656],{"className":2702},[630],[579,2704,2706],{"className":2705},[630],[579,2707,2175],{"className":2708},[2174],[579,2710,1875],{"className":2711},[630],[579,2713,2715,2728],{"className":2714},[582],[579,2716,2718],{"className":2717},[586],[588,2719,2720],{"xmlns":590},[592,2721,2722,2726],{},[595,2723,2724],{},[601,2725,1303],{},[609,2727,1303],{"encoding":611},[579,2729,2731],{"className":2730,"ariaHidden":617},[616],[579,2732,2734,2737],{"className":2733},[621],[579,2735],{"className":2736,"style":1827},[625],[579,2738,1303],{"className":2739},[630]," € mit ",[579,2742,2744,2759],{"className":2743},[582],[579,2745,2747],{"className":2746},[586],[588,2748,2749],{"xmlns":590},[592,2750,2751,2756],{},[595,2752,2753],{},[601,2754,2755],{},"0,3",[609,2757,2758],{"encoding":611},"0{,}3",[579,2760,2762],{"className":2761,"ariaHidden":617},[616],[579,2763,2765,2768,2771,2777],{"className":2764},[621],[579,2766],{"className":2767,"style":2699},[625],[579,2769,2656],{"className":2770},[630],[579,2772,2774],{"className":2773},[630],[579,2775,2175],{"className":2776},[2174],[579,2778,2167],{"className":2779},[630],[579,2781,2783,2796],{"className":2782},[582],[579,2784,2786],{"className":2785},[586],[588,2787,2788],{"xmlns":590},[592,2789,2790,2794],{},[595,2791,2792],{},[601,2793,1875],{},[609,2795,1875],{"encoding":611},[579,2797,2799],{"className":2798,"ariaHidden":617},[616],[579,2800,2802,2805],{"className":2801},[621],[579,2803],{"className":2804,"style":1827},[625],[579,2806,1875],{"className":2807},[630],[579,2809,2811,2826],{"className":2810},[582],[579,2812,2814],{"className":2813},[586],[588,2815,2816],{"xmlns":590},[592,2817,2818,2823],{},[595,2819,2820],{},[601,2821,2822],{},"0,2",[609,2824,2825],{"encoding":611},"0{,}2",[579,2827,2829],{"className":2828,"ariaHidden":617},[616],[579,2830,2832,2835,2838,2844],{"className":2831},[621],[579,2833],{"className":2834,"style":2699},[625],[579,2836,2656],{"className":2837},[630],[579,2839,2841],{"className":2840},[630],[579,2842,2175],{"className":2843},[2174],[579,2845,1303],{"className":2846},[630],". Erwartungswert ",[579,2849,2851,2895],{"className":2850},[582],[579,2852,2854],{"className":2853},[586],[588,2855,2856],{"xmlns":590},[592,2857,2858,2892],{},[595,2859,2860,2862,2864,2866,2868,2870,2873,2875,2877,2879,2881,2883,2885,2887,2889],{},[605,2861,1161],{},[741,2863,1164],{},[601,2865,2656],{},[741,2867,1306],{},[601,2869,2686],{},[741,2871,2872],{},"+",[601,2874,1303],{},[741,2876,1306],{},[601,2878,2755],{},[741,2880,2872],{},[601,2882,1875],{},[741,2884,1306],{},[601,2886,2822],{},[741,2888,1164],{},[601,2890,2891],{},"1,6",[609,2893,2894],{"encoding":611},"\\mu = 0 \\cdot 0{,}5 + 2 \\cdot 0{,}3 + 5 \\cdot 0{,}2 = 1{,}6",[579,2896,2898,2916,2934,2961,2979,3006,3024,3051],{"className":2897,"ariaHidden":617},[616],[579,2899,2901,2904,2907,2910,2913],{"className":2900},[621],[579,2902],{"className":2903,"style":1189},[625],[579,2905,1161],{"className":2906},[630,674],[579,2908],{"className":2909,"style":1197},[1196],[579,2911,1164],{"className":2912},[1201],[579,2914],{"className":2915,"style":1197},[1196],[579,2917,2919,2922,2925,2928,2931],{"className":2918},[621],[579,2920],{"className":2921,"style":1827},[625],[579,2923,2656],{"className":2924},[630],[579,2926],{"className":2927,"style":1385},[1196],[579,2929,1306],{"className":2930},[794],[579,2932],{"className":2933,"style":1385},[1196],[579,2935,2937,2940,2943,2949,2952,2955,2958],{"className":2936},[621],[579,2938],{"className":2939,"style":2699},[625],[579,2941,2656],{"className":2942},[630],[579,2944,2946],{"className":2945},[630],[579,2947,2175],{"className":2948},[2174],[579,2950,1875],{"className":2951},[630],[579,2953],{"className":2954,"style":1385},[1196],[579,2956,2872],{"className":2957},[794],[579,2959],{"className":2960,"style":1385},[1196],[579,2962,2964,2967,2970,2973,2976],{"className":2963},[621],[579,2965],{"className":2966,"style":1827},[625],[579,2968,1303],{"className":2969},[630],[579,2971],{"className":2972,"style":1385},[1196],[579,2974,1306],{"className":2975},[794],[579,2977],{"className":2978,"style":1385},[1196],[579,2980,2982,2985,2988,2994,2997,3000,3003],{"className":2981},[621],[579,2983],{"className":2984,"style":2699},[625],[579,2986,2656],{"className":2987},[630],[579,2989,2991],{"className":2990},[630],[579,2992,2175],{"className":2993},[2174],[579,2995,2167],{"className":2996},[630],[579,2998],{"className":2999,"style":1385},[1196],[579,3001,2872],{"className":3002},[794],[579,3004],{"className":3005,"style":1385},[1196],[579,3007,3009,3012,3015,3018,3021],{"className":3008},[621],[579,3010],{"className":3011,"style":1827},[625],[579,3013,1875],{"className":3014},[630],[579,3016],{"className":3017,"style":1385},[1196],[579,3019,1306],{"className":3020},[794],[579,3022],{"className":3023,"style":1385},[1196],[579,3025,3027,3030,3033,3039,3042,3045,3048],{"className":3026},[621],[579,3028],{"className":3029,"style":2699},[625],[579,3031,2656],{"className":3032},[630],[579,3034,3036],{"className":3035},[630],[579,3037,2175],{"className":3038},[2174],[579,3040,1303],{"className":3041},[630],[579,3043],{"className":3044,"style":1197},[1196],[579,3046,1164],{"className":3047},[1201],[579,3049],{"className":3050,"style":1197},[1196],[579,3052,3054,3057,3060,3066],{"className":3053},[621],[579,3055],{"className":3056,"style":2699},[625],[579,3058,603],{"className":3059},[630],[579,3061,3063],{"className":3062},[630],[579,3064,2175],{"className":3065},[2174],[579,3067,1963],{"className":3068},[630]," €.",[579,3071,3073],{"className":3072},[1229],[579,3074,3076,3161],{"className":3075},[582],[579,3077,3079],{"className":3078},[586],[588,3080,3081],{"xmlns":590,"display":1238},[592,3082,3083,3158],{},[595,3084,3085,3087,3089,3091,3093,3095,3097,3099,3101,3103,3109,3111,3113,3115,3117,3119,3121,3123,3129,3131,3133,3135,3137,3139,3141,3143,3149,3151,3153,3155],{},[605,3086,1254],{},[741,3088,1171],{"stretchy":1170},[605,3090,1129],{},[741,3092,1176],{"stretchy":1170},[741,3094,1164],{},[741,3096,1171],{"stretchy":1170},[601,3098,2656],{},[741,3100,743],{},[601,3102,2891],{},[1297,3104,3105,3107],{},[741,3106,1176],{"stretchy":1170},[601,3108,1303],{},[741,3110,1306],{},[601,3112,2686],{},[741,3114,2872],{},[741,3116,1171],{"stretchy":1170},[601,3118,1303],{},[741,3120,743],{},[601,3122,2891],{},[1297,3124,3125,3127],{},[741,3126,1176],{"stretchy":1170},[601,3128,1303],{},[741,3130,1306],{},[601,3132,2755],{},[741,3134,2872],{},[741,3136,1171],{"stretchy":1170},[601,3138,1875],{},[741,3140,743],{},[601,3142,2891],{},[1297,3144,3145,3147],{},[741,3146,1176],{"stretchy":1170},[601,3148,1303],{},[741,3150,1306],{},[601,3152,2822],{},[741,3154,1164],{},[601,3156,3157],{},"3,64",[609,3159,3160],{"encoding":611},"V(X) = (0 - 1{,}6)^2 \\cdot 0{,}5 + (2 - 1{,}6)^2 \\cdot 0{,}3 + (5 - 1{,}6)^2 \\cdot 0{,}2 = 3{,}64",[579,3162,3164,3191,3212,3271,3298,3319,3375,3402,3423,3479,3506],{"className":3163,"ariaHidden":617},[616],[579,3165,3167,3170,3173,3176,3179,3182,3185,3188],{"className":3166},[621],[579,3168],{"className":3169,"style":1211},[625],[579,3171,1254],{"className":3172,"style":1385},[630,674],[579,3174,1171],{"className":3175},[634],[579,3177,1129],{"className":3178,"style":1145},[630,674],[579,3180,1176],{"className":3181},[718],[579,3183],{"className":3184,"style":1197},[1196],[579,3186,1164],{"className":3187},[1201],[579,3189],{"className":3190,"style":1197},[1196],[579,3192,3194,3197,3200,3203,3206,3209],{"className":3193},[621],[579,3195],{"className":3196,"style":1211},[625],[579,3198,1171],{"className":3199},[634],[579,3201,2656],{"className":3202},[630],[579,3204],{"className":3205,"style":1385},[1196],[579,3207,743],{"className":3208},[794],[579,3210],{"className":3211,"style":1385},[1196],[579,3213,3215,3219,3222,3228,3231,3262,3265,3268],{"className":3214},[621],[579,3216],{"className":3217,"style":3218},[625],"height:1.1141em;vertical-align:-0.25em;",[579,3220,603],{"className":3221},[630],[579,3223,3225],{"className":3224},[630],[579,3226,2175],{"className":3227},[2174],[579,3229,1963],{"className":3230},[630],[579,3232,3234,3237],{"className":3233},[718],[579,3235,1176],{"className":3236},[718],[579,3238,3240],{"className":3239},[1078],[579,3241,3243],{"className":3242},[642],[579,3244,3246],{"className":3245},[647],[579,3247,3250],{"className":3248,"style":3249},[651],"height:0.8641em;",[579,3251,3253,3256],{"style":3252},"top:-3.113em;margin-right:0.05em;",[579,3254],{"className":3255,"style":1095},[659],[579,3257,3259],{"className":3258},[664,665,666,667],[579,3260,1303],{"className":3261},[630,667],[579,3263],{"className":3264,"style":1385},[1196],[579,3266,1306],{"className":3267},[794],[579,3269],{"className":3270,"style":1385},[1196],[579,3272,3274,3277,3280,3286,3289,3292,3295],{"className":3273},[621],[579,3275],{"className":3276,"style":2699},[625],[579,3278,2656],{"className":3279},[630],[579,3281,3283],{"className":3282},[630],[579,3284,2175],{"className":3285},[2174],[579,3287,1875],{"className":3288},[630],[579,3290],{"className":3291,"style":1385},[1196],[579,3293,2872],{"className":3294},[794],[579,3296],{"className":3297,"style":1385},[1196],[579,3299,3301,3304,3307,3310,3313,3316],{"className":3300},[621],[579,3302],{"className":3303,"style":1211},[625],[579,3305,1171],{"className":3306},[634],[579,3308,1303],{"className":3309},[630],[579,3311],{"className":3312,"style":1385},[1196],[579,3314,743],{"className":3315},[794],[579,3317],{"className":3318,"style":1385},[1196],[579,3320,3322,3325,3328,3334,3337,3366,3369,3372],{"className":3321},[621],[579,3323],{"className":3324,"style":3218},[625],[579,3326,603],{"className":3327},[630],[579,3329,3331],{"className":3330},[630],[579,3332,2175],{"className":3333},[2174],[579,3335,1963],{"className":3336},[630],[579,3338,3340,3343],{"className":3339},[718],[579,3341,1176],{"className":3342},[718],[579,3344,3346],{"className":3345},[1078],[579,3347,3349],{"className":3348},[642],[579,3350,3352],{"className":3351},[647],[579,3353,3355],{"className":3354,"style":3249},[651],[579,3356,3357,3360],{"style":3252},[579,3358],{"className":3359,"style":1095},[659],[579,3361,3363],{"className":3362},[664,665,666,667],[579,3364,1303],{"className":3365},[630,667],[579,3367],{"className":3368,"style":1385},[1196],[579,3370,1306],{"className":3371},[794],[579,3373],{"className":3374,"style":1385},[1196],[579,3376,3378,3381,3384,3390,3393,3396,3399],{"className":3377},[621],[579,3379],{"className":3380,"style":2699},[625],[579,3382,2656],{"className":3383},[630],[579,3385,3387],{"className":3386},[630],[579,3388,2175],{"className":3389},[2174],[579,3391,2167],{"className":3392},[630],[579,3394],{"className":3395,"style":1385},[1196],[579,3397,2872],{"className":3398},[794],[579,3400],{"className":3401,"style":1385},[1196],[579,3403,3405,3408,3411,3414,3417,3420],{"className":3404},[621],[579,3406],{"className":3407,"style":1211},[625],[579,3409,1171],{"className":3410},[634],[579,3412,1875],{"className":3413},[630],[579,3415],{"className":3416,"style":1385},[1196],[579,3418,743],{"className":3419},[794],[579,3421],{"className":3422,"style":1385},[1196],[579,3424,3426,3429,3432,3438,3441,3470,3473,3476],{"className":3425},[621],[579,3427],{"className":3428,"style":3218},[625],[579,3430,603],{"className":3431},[630],[579,3433,3435],{"className":3434},[630],[579,3436,2175],{"className":3437},[2174],[579,3439,1963],{"className":3440},[630],[579,3442,3444,3447],{"className":3443},[718],[579,3445,1176],{"className":3446},[718],[579,3448,3450],{"className":3449},[1078],[579,3451,3453],{"className":3452},[642],[579,3454,3456],{"className":3455},[647],[579,3457,3459],{"className":3458,"style":3249},[651],[579,3460,3461,3464],{"style":3252},[579,3462],{"className":3463,"style":1095},[659],[579,3465,3467],{"className":3466},[664,665,666,667],[579,3468,1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= \\sqrt{3{,}64} \\approx 1{,}91",[579,3557,3559,3577,3648],{"className":3558,"ariaHidden":617},[616],[579,3560,3562,3565,3568,3571,3574],{"className":3561},[621],[579,3563],{"className":3564,"style":865},[625],[579,3566,884],{"className":3567,"style":900},[630,674],[579,3569],{"className":3570,"style":1197},[1196],[579,3572,1164],{"className":3573},[1201],[579,3575],{"className":3576,"style":1197},[1196],[579,3578,3580,3583,3639,3642,3645],{"className":3579},[621],[579,3581],{"className":3582,"style":2286},[625],[579,3584,3586],{"className":3585},[630,1358],[579,3587,3589,3631],{"className":3588},[642,643],[579,3590,3592,3628],{"className":3591},[647],[579,3593,3595,3616],{"className":3594,"style":2299},[651],[579,3596,3598,3601],{"className":3597,"style":1373},[1372],[579,3599],{"className":3600,"style":1377},[659],[579,3602,3604,3607,3613],{"className":3603,"style":1381},[630],[579,3605,2167],{"className":3606},[630],[579,3608,3610],{"className":3609},[630],[579,3611,2175],{"className":3612},[2174],[579,3614,3524],{"className":3615},[630],[579,3617,3618,3621],{"style":2323},[579,3619],{"className":3620,"style":1377},[659],[579,3622,3624],{"className":3623,"style":1405},[1404],[1407,3625,3626],{"xmlns":1409,"width":1410,"height":1411,"viewBox":1412,"preserveAspectRatio":1413},[1415,3627],{"d":1417},[579,3629,705],{"className":3630},[704],[579,3632,3634],{"className":3633},[647],[579,3635,3637],{"className":3636,"style":2343},[651],[579,3638],{},[579,3640],{"className":3641,"style":1197},[1196],[579,3643,2248],{"className":3644},[1201],[579,3646],{"className":3647,"style":1197},[1196],[579,3649,3651,3654,3657,3663],{"className":3650},[621],[579,3652],{"className":3653,"style":2699},[625],[579,3655,603],{"className":3656},[630],[579,3658,3660],{"className":3659},[630],[579,3661,2175],{"className":3662},[2174],[579,3664,3666],{"className":3665},[630],"91",[564,3668,3669,3670,3708],{},"Die Auszahlung weicht also typischerweise um rund ",[579,3671,3673,3687],{"className":3672},[582],[579,3674,3676],{"className":3675},[586],[588,3677,3678],{"xmlns":590},[592,3679,3680,3684],{},[595,3681,3682],{},[601,3683,3552],{},[609,3685,3686],{"encoding":611},"1{,}91",[579,3688,3690],{"className":3689,"ariaHidden":617},[616],[579,3691,3693,3696,3699,3705],{"className":3692},[621],[579,3694],{"className":3695,"style":2699},[625],[579,3697,603],{"className":3698},[630],[579,3700,3702],{"className":3701},[630],[579,3703,2175],{"className":3704},[2174],[579,3706,3666],{"className":3707},[630]," € vom Erwartungswert ab.",[559,3710,3712],{"id":3711},"typische-fehler","Typische Fehler",[3714,3715,3716,3720,3723,3963],"ul",{},[3717,3718,3719],"li",{},"Die Wurzel vergessen und die Varianz als Standardabweichung angeben.",[3717,3721,3722],{},"Die Wurzel aus jedem Summanden einzeln ziehen. Die Wurzel gehört über die ganze Summe, erst summieren, dann teilen, dann Wurzel ziehen.",[3717,3724,3725,3726,3823,3824,3933,3934,3962],{},"Empirische Standardabweichung (",[579,3727,3729,3746],{"className":3728},[582],[579,3730,3732],{"className":3731},[586],[588,3733,3734],{"xmlns":590},[592,3735,3736,3744],{},[595,3737,3738],{},[598,3739,3740,3742],{},[601,3741,603],{},[605,3743,607],{},[609,3745,612],{"encoding":611},[579,3747,3749],{"className":3748,"ariaHidden":617},[616],[579,3750,3752,3755],{"className":3751},[621],[579,3753],{"className":3754,"style":626},[625],[579,3756,3758,3761,3820],{"className":3757},[630],[579,3759],{"className":3760},[634,635],[579,3762,3764],{"className":3763},[598],[579,3765,3767,3812],{"className":3766},[642,643],[579,3768,3770,3809],{"className":3769},[647],[579,3771,3773,3787,3795],{"className":3772,"style":652},[651],[579,3774,3775,3778],{"style":655},[579,3776],{"className":3777,"style":660},[659],[579,3779,3781],{"className":3780},[664,665,666,667],[579,3782,3784],{"className":3783},[630,667],[579,3785,607],{"className":3786},[630,674,667],[579,3788,3789,3792],{"style":677},[579,3790],{"className":3791,"style":660},[659],[579,3793],{"className":3794,"style":685},[684],[579,3796,3797,3800],{"style":688},[579,3798],{"className":3799,"style":660},[659],[579,3801,3803],{"className":3802},[664,665,666,667],[579,3804,3806],{"className":3805},[630,667],[579,3807,603],{"className":3808},[630,667],[579,3810,705],{"className":3811},[704],[579,3813,3815],{"className":3814},[647],[579,3816,3818],{"className":3817,"style":712},[651],[579,3819],{},[579,3821],{"className":3822},[718,635],"), Stichprobenstandardabweichung (",[579,3825,3827,3850],{"className":3826},[582],[579,3828,3830],{"className":3829},[586],[588,3831,3832],{"xmlns":590},[592,3833,3834,3848],{},[595,3835,3836],{},[598,3837,3838,3840],{},[601,3839,603],{},[595,3841,3842,3844,3846],{},[605,3843,607],{},[741,3845,743],{},[601,3847,603],{},[609,3849,748],{"encoding":611},[579,3851,3853],{"className":3852,"ariaHidden":617},[616],[579,3854,3856,3859],{"className":3855},[621],[579,3857],{"className":3858,"style":758},[625],[579,3860,3862,3865,3930],{"className":3861},[630],[579,3863],{"className":3864},[634,635],[579,3866,3868],{"className":3867},[598],[579,3869,3871,3922],{"className":3870},[642,643],[579,3872,3874,3919],{"className":3873},[647],[579,3875,3877,3897,3905],{"className":3876,"style":652},[651],[579,3878,3879,3882],{"style":655},[579,3880],{"className":3881,"style":660},[659],[579,3883,3885],{"className":3884},[664,665,666,667],[579,3886,3888,3891,3894],{"className":3887},[630,667],[579,3889,607],{"className":3890},[630,674,667],[579,3892,743],{"className":3893},[794,667],[579,3895,603],{"className":3896},[630,667],[579,3898,3899,3902],{"style":677},[579,3900],{"className":3901,"style":660},[659],[579,3903],{"className":3904,"style":685},[684],[579,3906,3907,3910],{"style":688},[579,3908],{"className":3909,"style":660},[659],[579,3911,3913],{"className":3912},[664,665,666,667],[579,3914,3916],{"className":3915},[630,667],[579,3917,603],{"className":3918},[630,667],[579,3920,705],{"className":3921},[704],[579,3923,3925],{"className":3924},[647],[579,3926,3928],{"className":3927,"style":829},[651],[579,3929],{},[579,3931],{"className":3932},[718,635],") und ",[579,3935,3937,3950],{"className":3936},[582],[579,3938,3940],{"className":3939},[586],[588,3941,3942],{"xmlns":590},[592,3943,3944,3948],{},[595,3945,3946],{},[605,3947,884],{},[609,3949,887],{"encoding":611},[579,3951,3953],{"className":3952,"ariaHidden":617},[616],[579,3954,3956,3959],{"className":3955},[621],[579,3957],{"className":3958,"style":865},[625],[579,3960,884],{"className":3961,"style":900},[630,674]," einer Zufallsgröße durcheinanderbringen. Der Taschenrechner zeigt oft mehrere Werte an.",[3717,3964,3965],{},"Bei einer Zufallsgröße die Quadrate nicht mit den Wahrscheinlichkeiten gewichten, sondern einfach durch die Anzahl der Werte teilen.",{"title":3967,"searchDepth":3968,"depth":3968,"links":3969},"",2,[3970,3971,3972],{"id":561,"depth":3968,"text":562},{"id":1796,"depth":3968,"text":1797},{"id":3711,"depth":3968,"text":3712},[3974,3977,3980,3982,3985,3988],{"lhs":3975,"rhs":3976},"sqrt(((a - (a+b)\u002F2)^2 + (b - (a+b)\u002F2)^2) \u002F 2)","abs(a - b) \u002F 2",{"lhs":3978,"rhs":3979},"round(sqrt(16\u002F5), 2)","1.79",{"lhs":3981,"rhs":1303},"sqrt(16\u002F4)",{"lhs":3983,"rhs":3984},"0 * 0.5 + 2 * 0.3 + 5 * 0.2","1.6",{"lhs":3986,"rhs":3987},"(0 - 1.6)^2 * 0.5 + (2 - 1.6)^2 * 0.3 + (5 - 1.6)^2 * 0.2","3.64",{"lhs":3989,"rhs":3990},"round(sqrt(3.64), 2)","1.91","n \\geq 1","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>n\u003C\u002Fmi>\u003Cmo>≥\u003C\u002Fmo>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">n \\geq 1\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.7719em;vertical-align:-0.136em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">n\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">≥\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.6444em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">1\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",null,"md","standard-deviation","s = \\sqrt{s^2} = \\sqrt{\\frac{1}{n} \\sum_{i=1}^{n} (x_i - \\bar{x})^2}","\u003Cspan class=\"katex-display\">\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\" display=\"block\">\u003Csemantics>\u003Cmrow>\u003Cmi>s\u003C\u002Fmi>\u003Cmo>=\u003C\u002Fmo>\u003Cmsqrt>\u003Cmsup>\u003Cmi>s\u003C\u002Fmi>\u003Cmn>2\u003C\u002Fmn>\u003C\u002Fmsup>\u003C\u002Fmsqrt>\u003Cmo>=\u003C\u002Fmo>\u003Cmsqrt>\u003Cmrow>\u003Cmfrac>\u003Cmn>1\u003C\u002Fmn>\u003Cmi>n\u003C\u002Fmi>\u003C\u002Fmfrac>\u003Cmunderover>\u003Cmo>∑\u003C\u002Fmo>\u003Cmrow>\u003Cmi>i\u003C\u002Fmi>\u003Cmo>=\u003C\u002Fmo>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmrow>\u003Cmi>n\u003C\u002Fmi>\u003C\u002Fmunderover>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmsub>\u003Cmi>x\u003C\u002Fmi>\u003Cmi>i\u003C\u002Fmi>\u003C\u002Fmsub>\u003Cmo>−\u003C\u002Fmo>\u003Cmover accent=\"true\">\u003Cmi>x\u003C\u002Fmi>\u003Cmo>ˉ\u003C\u002Fmo>\u003C\u002Fmover>\u003Cmsup>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmn>2\u003C\u002Fmn>\u003C\u002Fmsup>\u003C\u002Fmrow>\u003C\u002Fmsqrt>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">s = \\sqrt{s^2} = \\sqrt{\\frac{1}{n} \\sum_{i=1}^{n} (x_i - \\bar{x})^2}\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.4306em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">s\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">=\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1.04em;vertical-align:-0.0361em;\">\u003C\u002Fspan>\u003Cspan class=\"mord sqrt\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:1.0039em;\">\u003Cspan class=\"svg-align\" style=\"top:-3em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\" style=\"padding-left:0.833em;\">\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">s\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.7401em;\">\u003Cspan style=\"top:-2.989em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">2\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-2.9639em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"hide-tail\" style=\"min-width:0.853em;height:1.08em;\">\u003Csvg xmlns=\"http:\u002F\u002Fwww.w3.org\u002F2000\u002Fsvg\" width=\"400em\" height=\"1.08em\" viewBox=\"0 0 400000 1080\" preserveAspectRatio=\"xMinYMin slice\">\u003Cpath d=\"M95,702\nc-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14\nc0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54\nc44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10\ns173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429\nc69,-144,104.5,-217.7,106.5,-221\nl0 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class=\"mord\">\u003Cspan class=\"mord\">1\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.686em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose nulldelimiter\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mop op-limits\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:1.6514em;\">\u003Cspan style=\"top:-1.8723em;margin-left:0em;\">\u003Cspan class=\"pstrut\" style=\"height:3.05em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mathnormal mtight\">i\u003C\u002Fspan>\u003Cspan class=\"mrel mtight\">=\u003C\u002Fspan>\u003Cspan 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