Question

A certain airplane has two independent alternators to provide electrical power. the probability that a given alternator will fail on a one-hour flight is 0.045. (a) what is the probability that both will fail? (round your answer to 4 decimal places.) probability .0020 (b) what is the probability that neither will fail? (round your answer to 4 decimal places.) probability .998 (c) what is the probability that at least one fails?

Answer 1

P(fail)=p=0.045
Given the two alternators are independent.

(A)P(Both fail) = 0.045^2= 0.002025
(B)P(None fails) = (1-0.045)^2=0.912025
(C)P(at least one fails)
=1-P(non fails)
=1-0.912025
=0.087975