suppose that the distribution of retirement age in Canada is negatively skewed. The distribution mean has a mean of 65, and a variance of 16.

A) for a random sample of n =81 retired Canadians, what is the probability that the average age of retirement in the sample is less than 64.5?

B) for a random sample of n = 81 retired Canadians, what is the probability that the average age of retirement in the sample is between 65 and 66 ?

C) At what age would have at least 90% of the individuals in the sample retired? In other words, what is the 90th percentile for a random sample of n=81 retired Canadians ?

D) everything else being equal, how would an increase in sample size affect the standard error of the mean ?

E) everything else being equal, how would an increase in sample size influence standard deviation ?