Turkeys found in a particular county have an average weight of 15.6 pounds with a standard deviation of 4.0 pounds. 45 turkeys are randomly selected for a county fair.
a. Find the probability that the average weight of the turkeys will be less than 14.5 pounds.
b. What is the probability that the average weight of the turkeys will be more than 17 pounds?
c. Find the probability that the average weight of the turkeys will be between 15 and 16 pounds.