The life of a recirculating pump follows a Weibull

Chapter 4, Problem 201SE

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QUESTION:

The life of a recirculating pump follows a Weibull distribution with parameters \(\beta=2\) and \(\delta=700\) hours. Determine for parts (a) and (b):

(a) Mean life of a pump                         (b) Variance of the life of a pump

(c) What is the probability that a pump will last longer than its mean?

Equation transcription:

Text transcription:

\beta=2

\delta=700

Questions & Answers

QUESTION:

The life of a recirculating pump follows a Weibull distribution with parameters \(\beta=2\) and \(\delta=700\) hours. Determine for parts (a) and (b):

(a) Mean life of a pump                         (b) Variance of the life of a pump

(c) What is the probability that a pump will last longer than its mean?

Equation transcription:

Text transcription:

\beta=2

\delta=700

ANSWER:

Solution:

Step 1 of 3:

It is given that the life of a recirculating pump is is a random variable and has the Weibull distribution with  and  hours.

Using this we need to find the required values.


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