A simple random sample of size n = 75 is obtained from a population whose size is
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A simple random sample of size n = 75 is obtained from a population whose size is N = 10,000 and whose population proportion with a speciï¬ed characteristic is p = 0.8.
(a) Describe the sampling distribution of .
(b) What is the probability of obtaining x = 63 or more individuals with the characteristic? That is, what is P( ≥ 0.84)?
(c) What is the probability of obtaining x = 51 or fewer individuals with the characteristic? That is, what is P( ≤ 0.68)?
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