Binom.xls - Binomial Formula Values in red are numbers you...

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Binomial Formula Values in red are numbers you can modify for your problem. The binomial formula has two parts 1 The first part calculates the number of combinations of successes and failures that satisfy the 2 The second part calculates the probability associated with the combination of success and fai EXAMPLE A binomial random variable is the number of heads in 5 flips of a coin What is the probability of exactly 4 heads? n = 5 p = 0.5 The sample points that satisfy 4 heads in 5 flip X = 4 HHHHT HTHHH HHHTH THHHH HHTHH The # of combinations of x successes 5 The probability associated with X successes 0.03125 Multiply the two values to get Probability(X) = 0.15625 EXAMPLE Now you try it! Enter in the values below to solve for the parts of the binomial formula n = 7 p = 0.1 X = 4 The # of combinations of X successes 35 The probability associated with each X success 0.0000729 Multiply the two values to get Probability(X) = 0.002552
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The binomial formula is given as: e X value The probability associated with X successes ilures ps The # of combinations of X successes P ( x ) = n! x! ( n x ) ! ( p ) x ( q ) n x
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Binomial Probabilities n = 5 The values shown are cumulative probabilities for the probability of x (denoted as k in the table) PROBABILITIES (p) x 0.01 0.05 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.90 0.95 0.99 0 0.9510 0.7738 0.5905 0.3277 0.1681 0.0778 0.0313 0.0102 0.0024 0.0003 0.0000 0.0000 0.0000 1 0.9990 0.9774 0.9185 0.7373 0.5282 0.3370 0.1875 0.0870 0.0308 0.0067 0.0005 0.0000 0.0000 2 1.0000 0.9988 0.9914 0.9421 0.8369 0.6826 0.5000 0.3174 0.1631 0.0579 0.0086 0.0012 0.0000 3 1.0000 1.0000 0.9995 0.9933 0.9692 0.9130 0.8125 0.6630 0.4718 0.2627 0.0815 0.0226 0.0010 4 1.0000 1.0000 1.0000 0.9997 0.9976 0.9898 0.9688 0.9222 0.8319 0.6723 0.4095 0.2262 0.0490 5 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 Binomial Probabilities n = 6 The values shown are cumulative probabilities for the probability of x (denoted as k in the table) PROBABILITIES (p) x 0.01 0.05 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.90 0.95 0.99 0 0.9415 0.7351 0.5314 0.2621 0.1176 0.0467 0.0156 0.0041 0.0007 0.0001 0.0000 0.0000 0.0000 1 0.9985 0.9672 0.8857 0.6554 0.4202 0.2333 0.1094 0.0410 0.0109 0.0016 0.0001 0.0000 0.0000 2 1.0000 0.9978 0.9842 0.9011 0.7443 0.5443 0.3438 0.1792 0.0705 0.0170 0.0013 0.0001 0.0000 3 1.0000 0.9999 0.9987 0.9830 0.9295 0.8208 0.6563 0.4557 0.2557 0.0989 0.0159 0.0022 0.0000 4 1.0000 1.0000 0.9999 0.9984 0.9891 0.9590 0.8906 0.7667 0.5798 0.3446 0.1143 0.0328 0.0015 5 1.0000 1.0000 1.0000 0.9999 0.9993 0.9959 0.9844 0.9533 0.8824 0.7379 0.4686 0.2649 0.0585 6 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 Binomial Probabilities n = 7 The values shown are cumulative probabilities for the probability of x (denoted as k in the table) PROBABILITIES (p) x 0.01 0.05 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.90 0.95 0.99 0 0.9321 0.6983 0.4783 0.2097 0.0824 0.0280 0.0078 0.0016 0.0002 0.0000 0.0000 0.0000 0.0000 1 0.9980 0.9556 0.8503 0.5767 0.3294 0.1586 0.0625 0.0188 0.0038 0.0004 0.0000 0.0000 0.0000 2
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