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Given a population with a mean of μ=105 and a variance of σ2=36​, the central limit...

Given a population with a mean of μ=105 and a variance of σ2=36​, the central limit theorem applies when the sample size is n≥25. A random sample of size n=25 is obtained.

a. What are the mean and variance of the sampling distribution for the sample​ means?

b. What is the probability that x>107​?

c. What is the probability that 104<x<106​?

d. What is the probability that x≤105.5​?

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