a) Suppose that a system contains a certain type of component whose time, in years, to failure is given by T. The random variable T is modelled by using the exponential distribution with mean time to failure a = 2. What is the probability that the component is still functioning at the end of 5 years? %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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a) Suppose that a system contains a certain type of component whose time, in years, to failure
is given by T. The random variable T is modelled by using the exponential distribution with
mean time to failure A = 2. What is the probability that the component is still functioning at
the end of 5 years?
b) The length of life X, in hours, of an item in a machine shop has a Weibull distribution with
a = 0.03 and B 2. What is the probability that it fails before five hours of usage?
Transcribed Image Text:a) Suppose that a system contains a certain type of component whose time, in years, to failure is given by T. The random variable T is modelled by using the exponential distribution with mean time to failure A = 2. What is the probability that the component is still functioning at the end of 5 years? b) The length of life X, in hours, of an item in a machine shop has a Weibull distribution with a = 0.03 and B 2. What is the probability that it fails before five hours of usage?
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