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The lifetime of a laser (in hours) is lognormally

Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi ISBN: 9780073401331 38

Solution for problem 5E Chapter 4.12

Statistics for Engineers and Scientists | 4th Edition

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Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

Statistics for Engineers and Scientists | 4th Edition

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Problem 5E

Problem 5E

The lifetime of a laser (in hours) is lognormally distributed with µ = 8 and σ2 = 2.4. Two such lasers are operating independently.

a. Use a simulated sample of size 1000 to estimate the probability that the sum of the two lifetimes is greater than 20,000 hours.

b. Estimate the probability that both lasers last more than 3000 hours.

c. Estimate the probability that both lasers fail before 10,000 hours.

Step-by-Step Solution:

Solution:

Step 1 of 3:

The lifetime of a laser (in hours) is lognormally distributed with mean 8 and . Two lasers are operating independently.

We have to estimate

  1. The probability that the sum of two lifetimes is greater 20,000 hours by using a simulated sample of size 1000..
  2. The probability that both lasers last more than 3000 hours.
  3. The probability that both lasers fail before 10,000 hours.


Step 2 of 3

Chapter 4.12, Problem 5E is Solved
Step 3 of 3

Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

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The lifetime of a laser (in hours) is lognormally