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Consider a system of water flowing through valves from A to B. (See the accompanying
Chapter 3, Problem 3.4(choose chapter or problem)
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.) A B 1 2 3
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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.) A B 1 2 3
ANSWER:Step 1 of 4
Let the sample events be
A-valve 1 opens, B-valve 2 opens, C-valve 3 opens.
We need to find and .
The probability distribution is .