An article in a magazine discussed the length of time till failure ofa particular product Attire end ofthe product's lifetime, the time till failure is modeled using an exponential distribution I.Irrith a mean of 500 thousand hours. In reliabilityiargon this is known as the "wearout" distribution for the product. During its normal [useful] life. assume the product's time till failure is uniformly distributed over the range 150 thousand to 1.1 million hours. Complete parts a through c. ...; a. At the end of the product's lifetime, nd the probability that the product fails before TUE] thousand hours. 0.7534 {Round to four decimal places as needed.) b. During its normal {useful} life. nd the probability that the product tails before mo thousand hours. 0.5789 {Round to four decimal places as needed.) c. Show that the probability of the product failing before 961 thousand hours is approximately the same for both the normal (useful) life distribution and the wearout distribution. The probability of the product failing before 951 thousand hours for the normal (useful) life distribution is D. {Round to four decimal places as needed.)