Given a normal distribution with = 100 and = 10, if you select a sample

Question:

Given a normal with μ = 100 and σ = 10, if you select a sample of n = 25, what is the probability that x is

a. Less than 95?

b. Between 95 and 97.5?

c. Above 102.2?

d. There is a 65% chance that X-bar is above what value?

Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...