A boiler has five identical relief valves the probability

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A boiler has five identical relief valves. The probability that any particular valve will open on demand is

0.90. Assuming independent operation of the valves, calculate:

a. P(at least three valves open) =

b. P(at least one valve fails to open) =

c. What is the mean that boiler's valves will open?

d. What is the standard deviation?

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