A random sample of size n 100 is taken from a population with mean 80 and standard deviation 14 a Calculate the expected value and the standard error for the sampling distribution of the sample mean b What is the probability that the sample mean falls between 77 and 85 c What is the probability tha...

A random sample of size n=100 is taken from a population with mean =80 and standard

Question:

A random sample of size n=100 is taken from a population with mean µ =80 and standard deviation σ =14.
a. Calculate the expected value and the standard error for the sampling of the sample mean.
b. What is the probability that the sample mean falls between 77 and 85?
c. What is the probability that the sample mean is greater than 84?

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...