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Suppose a simple random sample of size n=200 is obtained from a population whose size is...

Suppose a simple random sample of size n=200 is obtained from a population whose size is N = 20000

and whose population proportion with a specified characteristic is p equals 0.8.

​(a) Describe the sampling distribution of

Determine the mean of the sampling distribution

Determine the standard deviation of the sampling distribution

​(b) What is the probability of obtaining x= 168or more individuals with the​ characteristic? That​ is, what is P(p greater than or equal to 0.84?

​(c) What is the probability of obtaining x= 156or fewer individuals with the​ characteristic? That​ is, what is P(p less than or equal to 0.78?

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