Continuous Probability Distribution
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5.62 A certain airplane has two independent alternators to provide electrical power. The probabilitythat 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) On e or the other will fail? Show all steps carefully.
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 U.S. driver takes 50,000 trips. (a) What is the probability of
a fatal accident over a lifetime? Explain your reasoning carefully. Hint: Assume independent
events. Why might the assumption of independence be violated? (b) Why might a driver be
tempted not to use a seat belt â??just on this tripâ??
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Solution Summary
Continuous Probability Distribution is exemplified.
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The two alternators are independent of each other. So
(a) the probability that both will fail is the product of the probabilities that each one will fail:
P(both will fail) = 0.02 * 0.02
(b) The probability that an alternator will not fail ...
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