In: Statistics and Probability
Rainfall: Statistics from Cornell's Northeast Regional Climate centre 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 represent the mean amount of rain for those 4 years. Describe the sampling distribution model of this sample mean, .
d) Whats the probability that those 4 years average less than 30" of rain?