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.
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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 23PPS
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F438ae359-02dd-4bf2-9394-14753b2f0599%2Fae2bdf61-95ad-41fe-bc8f-a50b2e0bf933%2F8y0zfh9_processed.png&w=3840&q=75)
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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