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    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 Preview

    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 ...

    Solution Summary

    Continuous Probability Distribution is exemplified.