Lifetimes of automobile parts often follow the pattern of a normal distribution. For example, the mean lifetime of car batteries tends to be normally distributed. Suppose that the mean number of years that a car battery lasts is 5 years and the standard deviation is 1.5 years. Find each of the following:

a. What is the probability that a randomly selected car battery will last more than 5 years?

b. What is the probability that a randomly selected car battery will last less than 2 years?

c. What is the probability that a randomly selected car battery will last between 4 and 6 years?

d. What is the probability that a randomly selected car battery will last more than 7 years?

e. What is the probability that a randomly selected car battery will last exactly 5 years?