A system consists of four components connected as shown in

Chapter 2, Problem 34E

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QUESTION:

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?

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QUESTION:

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?

ANSWER:

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.

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