A simple random sample of size n = 1,460 is obtained from a population whose size is N = 1, 500,000


Question: A simple random sample of size n = 1,460 is obtained from a population whose size is N = 1, 500,000 and whose population proportion with a specified characteristics is p = 0.42.

(a) Describe the sampling distribution of \[\overset{\lower0.5em\hbox{\(\smash{\scriptscriptstyle\frown}\)}}{p}\].

(b) What is the probability of obtaining x = 657 or more individuals with the characteristic?

(c) What is the probability of obtaining x = 584 or fewer individuals with the characteristics?

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