A random sample of size n 16 is obtained from a normally distributed population with a population mean of 100 and a variance of 2 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 g...

a Find the probability that the sample mean is 101 ...

A random sample of size n = 16 is obtained from a normally distributed population with a

Question:

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?