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 modeled nicely by the exponential distribution with mean time to failure B = 5. If 5 of these components are installed in different systems, what is the probability that at least 2 are still functioning at the end of 8 years? Please round your final answer to 4 decimal places.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 27T
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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 modeled nicely by the exponential distribution with mean time to failure B = 5. If 5 of
these components are installed in different systems, what is the probability that at least 2 are still functioning
at the end of 8 years?
Please round your final answer to 4 decimal places.
Transcribed Image Text: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 modeled nicely by the exponential distribution with mean time to failure B = 5. If 5 of these components are installed in different systems, what is the probability that at least 2 are still functioning at the end of 8 years? Please round your final answer to 4 decimal places.
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