A company introduced a much smaller variant of its tablet, known as the tablet junior. Weighing less than 11 ounces, it was about 50% lighter than the standard tablet. Battery tests for the tablet junior showed a mean life of 11.75 hours. Assume that battery life of the tablet junior is uniformly distributed between 8.5 and 15 hours. (a) Give a mathematical expression for the probability density function of battery life. 8.5 y 15 f(y) = ' elsewhere (b) What is the probability that the battery life for a tablet junior will be 11.5 hours 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 least 14 hours? (Round your answer to four decimal places.) (d) What is the probability that the battery life for a tablet junior will be between 9.5 and 11 hours? (Round your answer to four decimal places.) (e) In a shipment of 100 tablet juniors, how many should have a battery life of at least 13 hours? (Round your answer to two decimal places.) tablet juniors