Answered: A. it will fail before 1000 h B. it…

Math

Probability

A. it will fail before 1000 h B. it will survive at least 10,000 h C. it will fail between 1000 and 10,000 h.

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...

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Question

Exponential distribution is most widely used distribution in reliability and risk
assessment. The exponential distribution is closely related with the Poisson
distribution which is discrete. If the number of failure per unit time is Poisson
distribution then the time between failures follows exponential distribution. A system has a failure rate λ = 10−4/h. What is the probability that
A. it will fail before 1000 h
B. it will survive at least 10,000 h
C. it will fail between 1000 and 10,000 h.

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