Consider a system of water flowing through valves from a to, Basic Statistics

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Consider a system of water flowing through valves from a to

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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Basic Statistics: Consider a system of water flowing through valves from a to

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