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Advanced Engineering Mathematics | 9th Edition | ISBN: 9780471488859 | Authors: Erwin Kreyszig
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Solved: A pressure control apparatus contains 4 valves.

Chapter 24, Problem 24.1.57

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QUESTION: A pressure control apparatus contains 4 valves. The
apparatus will not work unless all valves are operative.
If the probability of failure of each valve during some
interval of time is 0.03. what is the corresponding
probability of failure of the apparatus?

Questions & Answers

QUESTION: A pressure control apparatus contains 4 valves. The
apparatus will not work unless all valves are operative.
If the probability of failure of each valve during some
interval of time is 0.03. what is the corresponding
probability of failure of the apparatus?

ANSWER:

Problem 24.1.57

A pressure control apparatus contains 4 valves. The apparatus will not work unless all valves are operative. If the probability of failure of each valve during some interval of time is 0.03. what is the corresponding probability of failure of the apparatus?

 

                                                               Step by Step Solution

Step 1 of 1

The probability of failure of each value during some internal is  .

So, the probability of operative condition of each value during some internal will be

As, performance of each value is independent to each other

Hence,

The  probability [that all

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