Consider a system of water flowing through valves from A

Chapter 3, Problem 4E

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QUESTION:

Consider a system of water flowing through valves from A to B. (See the accompanying diagram.) Valves 1, 2, and 3 operate independently, and each correctly opens on signal with probability .8. Find the probability distribution for Y , the number of open paths from A to B after the signal is given. (Note that Y can take on the values 0, 1, and 2.)

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QUESTION:

Consider a system of water flowing through valves from A to B. (See the accompanying diagram.) Valves 1, 2, and 3 operate independently, and each correctly opens on signal with probability .8. Find the probability distribution for Y , the number of open paths from A to B after the signal is given. (Note that Y can take on the values 0, 1, and 2.)

ANSWER:

Step 1 of 2

Given,

We have a system of water flow From A to B.

Here, 1, 2, and 3 are operated independently

P(correctly opens on signal) = 0.80

The claim is to find the probability that the distribution of Y, the number of open paths from A to B after the signal is given.

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