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In Example 1.4-5, suppose that the probability of failure

Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman ISBN: 9780321923271 41

Solution for problem 14E Chapter 1.4

Probability and Statistical Inference | 9th Edition

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Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

Probability and Statistical Inference | 9th Edition

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Problem 14E

PROBLEM 14E

In Example 1.4-5, suppose that the probability of failure of a component is p = 0.4. Find the probability that the system does not fail if the number of redundant components is

(a) 3.

(b) 8.

References Example 1.4-5

Step-by-Step Solution:

Answer :

Step 1 of 2 :

Probability of failure of component is p=0.4

Let number of redundant is n.

P(system does not fail) =

P(system does not fail) =

P(system does not fail) =

a).

Now we have to find the probability that the system does not fails.

If the number of redundant is 3.

P(system does not fail) =

Here n=3 and p=0.40

Substitute n and p values.

P(system does not fail) =

P(system does not fail) =

P(system does not fail) =

Therefore the probability that the system does not fails is 0.936

Step 2 of 2

Chapter 1.4, Problem 14E is Solved
Textbook: Probability and Statistical Inference
Edition: 9
Author: Robert V. Hogg, Elliot Tanis, Dale Zimmerman
ISBN: 9780321923271

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In Example 1.4-5, suppose that the probability of failure