5 A boiler has five identical relief valves The probability

5. A boiler has five identical relief valves. The probability that any particular valve will open on demand is 0.96. Assuming independent operation of valves, calculate the probability that at least one fails to open.

P(e)=1 fails+2fails+3fails+4fails+5 fails

=0.96*0.04^4+0.96^2*0.04^3+0.96^3*0.04^2+0.96^4*0.04+0.96^