The lifetime of an electronic component is exponentially distributed with mean 3000 hours. (a) What is the probability that the component will fail within 600 hours? (b) If two such components are connected serially (as in the figure below) to build a test system, what is the probability that the system will fail within 600 hours? A B

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
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The lifetime of an electronic component is exponentially distributed with mean 3000
hours.
(a) What is the probability that the component will fail within 600 hours?
(b) If two such components are connected serially (as in the figure below) to build a test system,
what is the probability that the system will fail within 600 hours?
A
B
Transcribed Image Text:The lifetime of an electronic component is exponentially distributed with mean 3000 hours. (a) What is the probability that the component will fail within 600 hours? (b) If two such components are connected serially (as in the figure below) to build a test system, what is the probability that the system will fail within 600 hours? A B
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