Suppose x has a normal distribution with a mean of 79 and avariance of 441.00. If a sample of 15 were randomly drawn from thepopulation, find the probability of   mu hat   for each of thefollowing situations.
a) less than 77: probability =
b) greater than 83: probability =
c) in between 65 and 76: probability =
d) in between 76 and 94: probability =