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A population has a mean of 200 and a standard deviation of 50. Suppose a sample of size 100 is selected and x is used

A population has a mean of 200 and a standard deviation of 50. Suppose a sample of size 100 is selected and

x is used to estimate . (Round your answers to four decimal places.)

(a)What is the probability that the sample mean will be within 5 of the population mean?

(b)What is the probability that the sample mean will be within 10 of the population mean?

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