Solve the following. Show complete and detailed solution and round off the final answers to 4 decimal digits. A boiler has five identical relief valves. The probability that any particular valve will...

 Solve the following. Show complete and detailed solution and round off the final answers to 4 decimal digits.

A boiler has five identical relief valves. The probability that any particular valve will open on
demand is .93. Assuming independent operation of the valves, calculate P(at least one valve
opens) and P(at least one valve fails to open).