Based upon data from 1996 through 2006, the average speed of winds in Chicago, IL is 10.6 mph. Assume that wind speeds are normally distributed with a standard deviation of 3.5 mph.
A. Find the probability that the wind speed on any reading will exceed 13.5 mph. Draw a sketch of the probability region and find the probability to 4 decimal places.
B. Find the probability that the mean wind speed of a sample of 8 readings is between 8.9 mph and 12.8 mph. Draw a sketch of the probability region and find the probabilty, to 4 decimal places.