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# A system consists of four components connected as shown in ISBN: 9780073401331 38

## Solution for problem 34E Chapter 2.3

Statistics for Engineers and Scientists | 4th Edition

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Problem 34E

A system consists of four components connected as shown in the following diagram: Assume A, B, C and D function independently. If the probabilities that A, B, C, and D fail are 0.10, 0.05, 0.10, and 0.20, respectively, what is the probability that the system functions?

Step-by-Step Solution:

Step 1 of 2:

It is given that a system consists of four components A,B,C and D in which A and B are in parallel connection and C and D are in series.

These components are assumed to be function independently.

Also it is given that P(A fails)=0.10,P(B fails)=0.05,P(C fails)=0.10,P(D fails)=0.20.

We have to find the probability that the system functions.

Step 2 of 2

##### ISBN: 9780073401331

Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. This full solution covers the following key subjects: system, functions, connected, consists, diagram. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. The full step-by-step solution to problem: 34E from chapter: 2.3 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. Since the solution to 34E from 2.3 chapter was answered, more than 919 students have viewed the full step-by-step answer. The answer to “A system consists of four components connected as shown in the following diagram: Assume A, B, C and D function independently. If the probabilities that A, B, C, and D fail are 0.10, 0.05, 0.10, and 0.20, respectively, what is the probability that the system functions?” is broken down into a number of easy to follow steps, and 46 words.

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