Given a normal distribution with = 50 and = 5, if you select a sample

Question:

Given a normal distribution with μ = 50 and σ = 5, if you select a sample of n = 100, what is the probability that X-bar is

a. Less than 47?

b. Between 47 and 49.5?

c. Above 51.1?

d. There is a 35% 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...