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02 - Probability_Distributions

02 - Probability_Distributions - Binomial Distribution n 5...

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Binomial Distribution n p 5 0.6 Mean E(X) Variance Stdev 3 1.2 1.1 x 0 0.0102 0.0102 1.0000 1 0.0768 0.0870 0.9898 2 0.2304 0.3174 0.9130 3 0.3456 0.6630 0.6826 4 0.2592 0.9222 0.3370 5 0.0778 1.0000 0.0778 P(Exactly x ) P(At most x ) P(At least x ) 0 2 4 6 8 10 12 Binomial Distribution (n = 5 p = 0.6) x
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Page 2 Poisson Distribution Mean (Lambda) 8 Variance Stdev 8 2.83 x 0 0.0003 0.0003 1.0000 1 0.0027 0.0030 0.9997 2 0.0107 0.0138 0.9970 3 0.0286 0.0424 0.9862 4 0.0573 0.0996 0.9576 5 0.0916 0.1912 0.9004 6 0.1221 0.3134 0.8088 7 0.1396 0.4530 0.6866 8 0.1396 0.5925 0.5470 9 0.1241 0.7166 0.4075 10 0.0993 0.8159 0.2834 11 0.0722 0.8881 0.1841 12 0.0481 0.9362 0.1119 13 0.0296 0.9658 0.0638 14 0.0169 0.9827 0.0342 15 0.0090 0.9918 0.0173 16 0.0045 0.9963 0.0082 17 0.0021 0.9984 0.0037 18 0.0009 0.9993 0.0016 19 0.0004 0.9997 0.0007 20 0.0002 0.9999 0.0003 21 0.0001 1.0000 0.0001 22 0.0000 1.0000 0.0000 23 0.0000 1.0000 0.0000 24 0.0000 1.0000 0.0000 25 0.0000 1.0000 0.0000 26 0.0000 1.0000 0.0000 27 0.0000 1.0000 0.0000 28 0.0000 1.0000 0.0000 29 0.0000 1.0000 0.0000 30 0.0000 1.0000 0.0000 31 0.0000 1.0000 0.0000 32 0.0000 1.0000 0.0000 33 0.0000 1.0000 0.0000 34 0.0000 1.0000 0.0000 35 0.0000 1.0000 0.0000 36 0.0000 1.0000 0.0000 37 0.0000 1.0000 0.0000 38 0.0000 1.0000 0.0000 39 0.0000 1.0000 0.0000 40 0.0000 1.0000 0.0000 41 0.0000 1.0000 0.0000 42 0.0000 1.0000 0.0000 43 0.0000 1.0000 0.0000 44 0.0000 1.0000 0.0000 45 0.0000 1.0000 0.0000 46 0.0000 1.0000 0.0000 47 0.0000 1.0000 0.0000 48 0.0000 1.0000 0.0000 49 0.0000 1.0000 0.0000 50 0.0000 1.0000 0.0000 P(Exactly x ) P(At most x ) P(At least x ) 0 1 2 3 4 5 6 7 8 9 10 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 Poisson Distribution (Lambda = 8) x
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e38391dffe756f8def1967e9d2697fe3eed2b3bb.xls Page 3 Normal Distribution Mean Stdev 100 2 P(X<x) x x P(X>x) 0.8413 102 102 0.1587 99.00 0.6247 103.00 90.00 0.0062 95.00 Inverse Calculations P(<x) x x P(>x) Symmetric Intervals 0.9 102.56 97.44 0.9 0.95 103.29 96.71 0.95 94.85 0.99 105.15 0.99 104.65 95.35 0.99 96.08 0.95 103.92 96.71 0.90 103.29 x 1 P(x 1 <X<x 2 ) x 2 x 1 P(x 1 <X<x 2 ) x 2
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Sampling Distribution of Sample Mean (Normal) Population Distribution Sampling Distribution of X-bar Mean Stdev Smple Size Mean Stdev 220 15 n 100 220 1.5 P(<x) x x
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