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A system consists of four components, connected as shown

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

Solution for problem 35E Chapter 2.3

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 35E

A system consists of four components, connected as shown in the diagram. Suppose that the components function independently, and that the probabilities of failure are 0.05 for A, 0.03 for B, 0.07 for C, and 0.14 for D. Find the probability that the system functions.

Step-by-Step Solution:

Step 1 of 2:

It is given that a system consists of 4 components A,B,C and D in which A and B are connected in parallel and C and D are connected in series.

All these four components function independently.

Also it is given that,

P(A fails)=0.05

P(B fails)=0.03

P(C fails)=0.07

P(D fails)=0.14

Using all these we have to find the probability that the system functions.

Step 2 of 2

Chapter 2.3, Problem 35E is Solved
Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

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A system consists of four components, connected as shown

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