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Electronic chips Suppose the probability that a particular

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett ISBN: 9780321570567 2

Solution for problem 70E Chapter 7.7

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

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Problem 70E

Electronic chips Suppose the probability that a particular computer chip fails after t = a hours of operation is .

a. Find the probability that the computer chip fails after 15,000 hr of operation.

b. Of the chips that are still operating after 15,000 hr. what fraction of these will operate for at least another 15,000 hr?

c. Evaluate  and interpret its meaning.

Step-by-Step Solution:
Step 1 of 3

Solution:-

Step1

Given that

The probability that a particular computer chip fails after t = a hours of operation is .

Step2

To find

a. Find the probability that the computer chip fails after 15,000 hr of operation.


b. Of the chips that are still operating after 15,000 hr. what fraction of these will operate for at least another 15,000 hr?


c. Evaluate  and interpret its meaning.

Step3

a. The probability that the computer chip fails after 15,000 hr of operation is

Therefore,The probability that the computer chip fails after 15,000 hr of operation is 0.75.

Step4

b. Of the chips that are still operating after 15,000 hr.The fraction of these will operate for at least another 15,000 hr is

Therefore,The fraction of these will operate for at least another 15,000 hr is 0.75

Step5

c.   and interpret its meaning.

It means that all the computer chip will fail after infinity times.

Step 2 of 3

Chapter 7.7, Problem 70E is Solved
Step 3 of 3

Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

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Electronic chips Suppose the probability that a particular