SOLUTION: Question 5.62 A certain airplane has two independent alternators to povide electrical power. The probability that a given alternator will fail on a 1-hour flight is .02. What is t

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Question 446887: Question 5.62
A certain airplane has two independent alternators to povide electrical power. The probability that a given alternator will fail on a 1-hour flight is .02. What is the probability that (a) oth will fail? (b) Neither will fail? (c) One or the other will fail? Show all step carefully.
Question 5.70
The probability is 1 in 4,000,000 that a single auto trip in the United States will result in a fatality. Over a lifetime, an average driver takes 50,00 trips. (a) What is the probability of a fatal accident over a lifetime? Explai your reasoning carewfully. Hint:Assume independent events. Why might the assumption of independence be violated? 9b) Why might a driver be tempted not to use a seat belt "just on this trip"?

Found 2 solutions by sudhanshu_kmr, stanbon:
Answer by sudhanshu_kmr(1152) About Me  (Show Source):
You can put this solution on YOUR website!
probability that
(a) both will fail= 0.02 * 0.02 = 0.0004


(b) Neither will fail= 0.98 * 0.98 = 96.04

(c) One or the other will fail = 0.98 * 0.02 + 0.98* 0.02 = 0.0392

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A certain airplane has two independent alternators to povide 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?:::::::0.02^2
(b) Neither will fail?::::0.98^2
(c) One or the other will fail?::: 1-[0.02^2+0.98^2]
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Show all step carefully.
Question 5.70
The probability is 1 in 4,000,000 that a single auto trip in the United States will result in a fatality. Over a lifetime, an average driver takes 50,00 trips.
(a) What is the probability of a fatal accident over a lifetime? Explain your reasoning carefully.
I'll leave this one to you.
Cheers,
Stan H.