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

## Solution for problem 35E Chapter 2.3

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

##### ISBN: 9780073401331

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