The state of Georgia has a mean annual rainfall of 252 inche

The state of Georgia has a mean annual rainfall of 25.2 inches, whereas the state of Michigan has a mean annual rainfall of 46.3 inches. Assume the standard deviation for Georgia is 7.4 inches and for Michigan is 8.2 inches. Find the probability that, for a sample of 40 years of rainfall for Michigan, the mean annual rainfall is at least 47 inches.