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?

Question

Mathematics

Lorena Frazier

19 July, 12:55

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?

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Answers (2)

Know the Answer?

Davian · Answer 1

I think the answer is

0.087975

or

.087975

Aiyana · Answer 2

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