Battery manufacturers compete on the basis of the amount of time their products last in cameras and toys. A manufacturer of alkaline batteries has observed that its batteries last for an average of 26 hours when used in a toy racing car. The amount of time is normally distributed with a standard deviation of 2.5 hours.

a. What is the probability that the battery lasts between 24 and 28 hours?

b. What is the probability that the battery lasts longer than 28 hours?

c. What is the probability that the battery lasts less than 24 hours?