The life time, in years, of a type of small electric motor

Chapter 4, Problem 6E

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QUESTION:

The lifetime, in years, of a type of small electric motor operating under adverse conditions is exponentially distributed with \(\lambda=3.6\). Whenever a motor fails, it is replaced with another of the same type. Find the probability that fewer than six motors fail within one year.

Equation Transcription:

Text Transcription:

{lambda}3.6

Questions & Answers

QUESTION:

The lifetime, in years, of a type of small electric motor operating under adverse conditions is exponentially distributed with \(\lambda=3.6\). Whenever a motor fails, it is replaced with another of the same type. Find the probability that fewer than six motors fail within one year.

Equation Transcription:

Text Transcription:

{lambda}3.6

ANSWER:

Solution:

Step 1 of 2:

The  lifetime of a small electric motor, operating under adverse condition is exponentially distributed with .If a motor fails it will be replaced with another of same type.

We have to find the probability that fewer than six motors fail within one year.


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