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There are two competing designs for a certain

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

Solution for problem 2E 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 2E

There are two competing designs for a certain semiconductor circuit. The lifetime of the first (in hours) is exponentially distributed with \(\lambda=10^{-4}\), and the lifetime of the second is lognormally distributed with \(\mu=6\) and \(\sigma^2=5.4\).

a. Use a simulated sample of size 1000 to estimate the probability that a circuit with the first design lasts longer than one with the second design.

b. Estimate the probability that a circuit with the first design lasts more than twice as long as one with the second design.

Equation Transcription:

Text Transcription:

lambda=10^-4

mu=6

sigma^2=5.4

Step-by-Step Solution:

Solution:

Step 1 of 3:

A semiconductor circuit contain two competing designs . The lifetime of the first is exponentially distributed with = and the lifetime of the second is lognormally distributed with = 6 and =5.4.

   We have to find

  1.  The probability that first design last longer than the second design by using simulated sample of size 1000.
  2. The probability that first design lasts more than twice as long as one with the second.

Step 2 of 3

Chapter 4.12, Problem 2E is Solved
Step 3 of 3

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

The answer to “?There are two competing designs for a certain semiconductor circuit. The lifetime of the first (in hours) is exponentially distributed with \(\lambda=10^{-4}\), and the lifetime of the second is lognormally distributed with \(\mu=6\) and \(\sigma^2=5.4\).a. Use a simulated sample of size 1000 to estimate the probability that a circuit with the first design lasts longer than one with the second design.b. Estimate the probability that a circuit with the first design lasts more than twice as long as one with the second design.Equation Transcription:Text Transcription:lambda=10^-4mu=6sigma^2=5.4” is broken down into a number of easy to follow steps, and 85 words. The full step-by-step solution to problem: 2E from chapter: 4.12 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. This full solution covers the following key subjects: Design, Circuit, lifetime, Probability, distributed. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. Since the solution to 2E from 4.12 chapter was answered, more than 319 students have viewed the full step-by-step answer. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331.

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