Question 1129718
Let's start with the following notation for Hyper-Geometric Probability
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N is the number of items in the population
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k is the number of items in the population that are classified as successes
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n is the number of items in the sample
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x is the number of items in the sample that are classified as successes
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kCx is the number of combinations of k things, taken x at a time
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Hyper-geometric probability is the probability that an n-trial hyper-geometric experiment results in exactly x successes, when the population consists of N items, k of which are classified as successes, written as
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h(x; N, n, k)
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Note that the probability for 2 or more of the returns are "improper" is calculated using the following equation
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P(x > or = 2) = 1 -P(x = 0) -P(x=1), where P is probability, gives us
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P(x > or = 2) = 1 -h(0, N, n, k) -h(1, N, n, k)
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for part a
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a. for k = 5, we have
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P = 1 -h(0, 100, 6, 5) -h(1, 100, 6, 5) = 0.0279
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that should get you going
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