Question: Statistics from Cornell's Northeast Regional Climate Center indicate that Ithaca, NY, gets an average of 35.4" of rain each year, with a standard deviation of 4.2" Assume that a normal model applies.

a) During what percentage of years does Ithaca get more than 40" of rain?
b) Less than how much rain falls in the driest 20% of all years?
c) A Cornell Univ. student is in Ithaca for 4 yrs. Let y (y has a line over it)represent the mean amount of rain for those 4 yrs. Describe the sampling distribution model of this sample mean, y.

d) What is the probability that if a professor were in Ithaca for 16yrs the average rainfall is less than 30 in.