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...

Rainfall Statistics from Cornell’s Northeast Regional Climate Center indicate that Ithaca, New York, gets an average of 35.4

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of rain each year, with a standard deviation of 4.2

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. Assume that a Normal model applies. a) During what percentage of years does Ithaca get more than 40

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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

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of rain?