A boiler has five identical relief valves. the probability that any particular valve will open on demand is. 95. assuming independent operation of the valves, calculate p (at least one valve opens) and p (at least one valve fails to open).

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Mathematics

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5 January, 16:08

A boiler has five identical relief valves. the probability that any particular valve will open on demand is. 95. assuming independent operation of the valves, calculate p (at least one valve opens) and p (at least one valve fails to open).

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Jack Larsen · Answer 1

To calculate P (at least one valve opens), we can find 1 - p (no valves open).

This is equal to 1 - (0.05) ^5, or 0.9999996875.

P (at least one valve fails to open) is equal to 1 - p (all valves open and none fail). This is 1 - (0.95) ^5, or 0.2262190625.