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Asked Sep 18, 2019
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(Urn distribution) A population of 100,000 people consists of 40% men and 60% women. A random sample of size 100 is drawn from this population without replacement. Derive expression for the probability that there are at least 45 men in the sample. Approximately, what is the value of the probability?

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The sampling here is done without replacement. This means that the trials (drawing each individual into the sample) are not independent. As a result, a hypergeometric distribution should ideally be used to model this ...

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Probability

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