The average teachers salary in North Dakota is $37,764. Assume a normal distribution with = $5100.

Question:

The average teacher’s salary in North Dakota is $37,764. Assume a normal distribution with σ = $5100.

a. What is the probability that a randomly selected teacher’s salary is greater than $45,000?

b. For a sample of 75 teachers, what is the probability that the sample mean is greater than $38,000?

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...