Assume that the population of heights of men has a normal distribution with a mean of 69.5

Question:

Assume that the population of heights of men has a normal with a mean of 69.5 in. and random samples of 100 men result in sample mean heights with a mean of 69.5 in. and a standard deviation of 0.24 in.
a. If one sample of 100 men results in a mean height of 69.0 in., how many standard deviations is the sample mean from the population mean?
b. What is the probability that a second sample of 100 men would have a mean less than 69.0 in.?
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...