SOLUTION: A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fail on a 1-hour flight is .02. What is the probabilit

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Question 283109: A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fail on a 1-hour flight is .02. What is the probability that (a) both will fail? (b) Neither will fail? (c) One or the other will fail? Please show all steps so i can understand

Answer by Greenfinch(383) About Me  (Show Source):
You can put this solution on YOUR website!
Probability of failure is .02, so probability of non-failure is .98
For two independent events use the binomial process.
Chance of 2 non failures is .98^2 = 0.9604
Chance of 2 failures is 0.02^2 = 0.0004
Chance of 1 failure is 2 x 0.02 x 0.98 = 0.0392
Total = 1.00000