Suppose that the lifetimes of light bulbs are approximately normallydistributed, with a mean of 56 hours and a standard deviation of 3.2 hours. With thisinformation, answer the following questions.

(a) What proportion of light bulbs will last more than 60 hours?

(b) What proportion of light bulbs will last 51 hours orless?

(c) What proportion of light bulbs will last between 58 and 62 hours?

(d) What is the probability that a randomly selected light bulb lasts less than 45 hours?