# Question

A random sample of size n = 25 is obtained from a normally distributed population with a population mean of μ = 198 and a variance of σ2 = 100.
a. What is the probability that the sample mean is greater than 200?
b. What is the value of the sample variance such that 5% of the sample variances would be less than this value?
c. What is the value of the sample variance such that 5% of the sample variances would be greater than this value?

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