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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

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 thexsampling distribution?

_x	=
_x	=

(b) What is the approximate probability thatxwill be within0.4of the population mean? (Round your answer to four decimal places.)

(c) What is the approximate probability thatxwill differ fromby more than0.6? (Round your answer to four decimal places.)

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