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

a Normal model applies.

1. During what percentage of years does Ithaca get more than 40" of rain?
2. Less than how much rain falls in the driest 20% of all years?
3. A Cornell University student is in Ithaca for 4 years. Let \(\bar{y}\) represent the mean amount of rain for those 4 years. Describe the sampling distribution model of this sample mean, \(\bar{y}\).
4. What's the probability that those 4 years average less than 30 " of rain?

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