Rainfall Statistics from Cornell's Northeast Regional Climate Center
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Rainfall Statistics from Cornell's Northeast Regional Climate Center

3. 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.

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?

Hint
Statistics"Z score indicates how many standard deviations a score is away from the mean. A z score follows N (0, 1). Its formula is given by: Z = (X-mean)/sd- A z-score less than 0 implies that score is less than the mean- A z-score greater than 0 implies that score is greater than the mean- A z-score equal to 0 implies that score is equal to the mean- If the number of elements in the set is large...

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