A company introduced a much smaller variant of its tablet, known as the tablet junior. Weighing less than11 ounces,it was about 50% lighter than the standard tablet. Battery tests for the tablet junior showed a mean life of10.25hours.Assume that battery life of the tablet junior is uniformly distributed between7.5and13hours.

(a)

Give a mathematical expression for the probability density function of battery life.

f(y) =( ,7.5y13

,elsewhere

(b) What is the probability that the battery life for a tablet junior will be10.5hours or less? (Round your answer to four decimal places.)

(c) What is the probability that the battery life for a tablet junior will be at least11.5hours? (Round your answer to four decimal places.)

(d) What is the probability that the battery life for a tablet junior will be between8.5and10.5hours? (Round your answer to four decimal places.)

(e) In a shipment of 100 tablet juniors, how many should have a battery life of at least12hours? (Round your answer to two decimal places.)

tablet juniors