Question: A random sample of size n = 16 is obtained from a normally distributed population with a population mean of = 100 and a

A random sample of size n = 16 is obtained from a normally distributed population with a population mean of μ = 100 and a variance of σ2 = 25.
a. What is the probability that x-bar > 101?
b. What is the probability that the sample variance is greater than 45?
c. What is the probability that the sample variance is greater than 60?

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