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).

Answer: Step 1: Given, a boiler has 5 identical relief valves. The probability that any particular valve will open on demand is 0.95. Assuming independent operation of the valves. Step 2: Here we need to calculate, i)P at least one valve opens) and ii) P(at least one valve fails to open).