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Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi
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The lifetime of a cooling fan, in hours, that is used in a

Chapter 4, Problem 11E

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QUESTION:

The lifetime of a cooling fan, in hours, that is used in a computer system has the Weibull distribution with \(\alpha) = 1.5 and \(\beta) = 0.0001.

a. What is the probability that a fan lasts more than 10,000 hours?

b. What is the probability that a fan lasts less than 5000 hours?

c. What is the probability that a fan lasts between 3000 and 9000 hours?

Equation transcription:

Text transcription:

\alpha

\beta

Questions & Answers

QUESTION:

The lifetime of a cooling fan, in hours, that is used in a computer system has the Weibull distribution with \(\alpha) = 1.5 and \(\beta) = 0.0001.

a. What is the probability that a fan lasts more than 10,000 hours?

b. What is the probability that a fan lasts less than 5000 hours?

c. What is the probability that a fan lasts between 3000 and 9000 hours?

Equation transcription:

Text transcription:

\alpha

\beta

ANSWER:

Solution:

Step 1 of 3:

The lifetime of a cooling fan that is used in a computer has weibull distribution with  .

We have to find

  1. The Probability that fan last more than 10,000 hours.
  2. The Probability that fan last less than 5000 hours.
  3.  The Probability that fan last between 3000 and 9000 hours.

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