The April rainfall in Flagstaff, Arizona, follows a uniform distribution between 0.5 and 3.00 inches.
a. What are the values for a and b?
b. What is the mean amount of rainfall for the month? What is the standard deviation?
c. What is the probability of less than an inch of rain for the month?
d. What is the probability of exactly 1.00 inch of rain?
e. What is the probability of more than 1.50 inches of rain for the month?