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## A system has two components: A and B. The operating times until failure of the two components are independent and exponentially distributed

Question

A system has two components: A and B. The operating times until failure of the two components are independent and exponentially distributed random variables with parameter 2 for component A, and parameter 3 for component B. The system fails at the first component failure.

(a) – Read section 1.5.2 in the textbook.

(b) – What is the mean time to failure for component A and for component B

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Mathematics
6 months
2021-07-20T21:19:17+00:00
2021-07-20T21:19:17+00:00 1 Answers
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## Answers ( )

Answer:— Component A

— Component B

Step-by-step explanation:GivenDistribution = Exponential— Component A

— Component B

Solving (a): The mean time of AThe mean of an exponential distribution is:We have:— Component ASolving (b): The mean time of BThe mean of an exponential distribution is:We have:— Component B