An unknown distribution has a mean of 90 and a standard deviation of 15. Samples of size n = 36 are drawn randomly from the population. Use the Central Limit Theorem to answer the following. a. Find...

An unknown distribution has a mean of 90 and a standard deviation of 15.
Samples of size n = 36 are drawn randomly from the population. Use the Central
Limit Theorem to answer the following.
a. Find the standard deviation of the sample mean.
b. Find the probability that the sample mean is between 85 and 92
c. Find the value that is two standard deviations of the sample mean above
the expected value, 90, of the sample mean.