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Suppose that a random sample of size 64 is to be selected from a population with...

Suppose that a random sample of size 64 is to be selected from a population with mean 40 and standard deviation 5.

(a) What are the mean and standard deviation of the sampling distribution?
μx =
σx =

(b) What is the approximate probability that x will be within 0.4 of the population mean μ? (Round your answer to four decimal places.)
P =

(c) What is the approximate probability that x will differ from μ by more than 0.8? (Round your answer to four decimal places.)
P =

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