SOLUTION: 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 .02. What is the probabil

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Question 258838: 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 .02. What is the probability that (a) both will fail? (b) Neither will fail? (c) One or the other will fail? Show all steps carefully.


Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
P(both fail)=%280.2%29%280.2%29=0.04
P(neither fail)=%280.8%29%280.8%29=0.64
P(one fail)=P(first fails,second doesn't)+P(first doesn't, second fails)=%280.2%29%280.8%29%2B%280.8%29%280.2%29=0.32
Ptotal=0.04%2B0.64%2B0.32=1 (all possible events are covered)