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

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

(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 less than 196?

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