4.4.4The time to failure in hours of an electrical circuit subjected to a high temperature has a Weibull distribution with parameters a = 3 and λ = 0.5. (a) What is the median failure time of a circuit? (b) The circuit engineers can be 99% confident that a circuit will last as long as what time? (c) What are the expectation and variance of the circuit failure times? (d) If a circuit has three equivalent backup circuits that have independent failure times, what is the probability that at least one circuit is working after 3 hours?
4.4.4The time to failure in hours of an electrical circuit subjected to a high temperature has a Weibull distribution with parameters a = 3 and λ = 0.5. (a) What is the median failure time of a circuit? (b) The circuit engineers can be 99% confident that a circuit will last as long as what time? (c) What are the expectation and variance of the circuit failure times? (d) If a circuit has three equivalent backup circuits that have independent failure times, what is the probability that at least one circuit is working after 3 hours?
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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