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 University student is in Ithaca for 4 years. Let y¯. represent the mean amount of rain for those 4 years. Describe the sampling distribution model of this sample mean, y¯.

d) What’s the probability that those 4 years average less than 30" of rain?