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 10.25 hours. Assume that battery life of the tablet junior is uniformly distributed between 7.5 and 13 hours. (a)
Give a mathematical expression for the probability density function of battery life.
f(y) =

(b)
What is the probability that the battery life for a tablet junior will be 10.5 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 11.5 hours? (Round your answer to four decimal places.)
(d)
What is the probability that the battery life for a tablet junior will be between 8.5 and 10.5 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 12 hours? (Round your answer to two decimal places.)
tablet juniors