Homework Help is Here – Start Your Trial Now!
Math
Probability
An article in a magazine discussed the length of time till failure of a particular product. At the end of the product's lifetime, the time till failure is modeled using an exponential distribution with a mean of 450 thousand hours. In reliability jargon this is known as the "wear-out" distribution for the product. During its normal (useful) lift 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, find the probability that the product fails before 600 thousand hours, (Round to four decimal places as needed.) b. During its normal (useful) life, find the probability that the product fails before 600 thousand hours. (Round to four decimal places as needed.) c. Show that the probability of the product failing before 996 thousand hours is approximately the same for both the normal (useful) life distribution and the wear-out distribution. The probability of the product failing before 996 thousand hours for the normal (useful) life distribution is (Round to four decimal places as needed.) The probability of the product failing before 996 thousand hours for the wear-out distribution is (Round to four decimal places as needed.)

An article in a magazine discussed the length of time till failure of a particular product. At the end of the product's lifetime, the time till failure is modeled using an exponential distribution with a mean of 450 thousand hours. In reliability jargon this is known as the "wear-out" distribution for the product. During its normal (useful) lift 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, find the probability that the product fails before 600 thousand hours, (Round to four decimal places as needed.) b. During its normal (useful) life, find the probability that the product fails before 600 thousand hours. (Round to four decimal places as needed.) c. Show that the probability of the product failing before 996 thousand hours is approximately the same for both the normal (useful) life distribution and the wear-out distribution. The probability of the product failing before 996 thousand hours for the normal (useful) life distribution is (Round to four decimal places as needed.) The probability of the product failing before 996 thousand hours for the wear-out distribution is (Round to four decimal places as needed.)

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
See similar textbooks
icon
Related questions
Question

Subject: 

An article in a magazine discussed the length of time till failure of a particular product. At the end of the product's lifetime, the time till failure is modeled using an exponential distribution with a mean of 450 thousand hours. In reliability jargon this is known as the "wear-out" 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, find the probability that the product fails before 600 thousand hours, (Round to four decimal places as needed.) b. During its normal (useful) life, find the probability that the product fails before 600 thousand hours. (Round to four decimal places as needed.) c. Show that the probability of the product failing before 996 thousand hours is approximately the same for both the normal (useful) life distribution and the wear-out distribution. The probability of the product failing before 996 thousand hours for the normal (useful) life distribution is (Round to four decimal places as needed.) The probability of the product failing before 996 thousand hours for the wear-out distribution is (Round to four decimal places as needed.)
Transcribed Image Text:An article in a magazine discussed the length of time till failure of a particular product. At the end of the product's lifetime, the time till failure is modeled using an exponential distribution with a mean of 450 thousand hours. In reliability jargon this is known as the "wear-out" 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, find the probability that the product fails before 600 thousand hours, (Round to four decimal places as needed.) b. During its normal (useful) life, find the probability that the product fails before 600 thousand hours. (Round to four decimal places as needed.) c. Show that the probability of the product failing before 996 thousand hours is approximately the same for both the normal (useful) life distribution and the wear-out distribution. The probability of the product failing before 996 thousand hours for the normal (useful) life distribution is (Round to four decimal places as needed.) The probability of the product failing before 996 thousand hours for the wear-out distribution is (Round to four decimal places as needed.)
Expert Solution
steps

Step by step

Solved in 4 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer