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Math Help - Probability

  1. #1
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    Probability

    I need assistance with the following problems:

    Problem 1:
    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? Show all steps carefully.



    Problem # 2


    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 “just on this trip”?
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  2. #2
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    Quote Originally Posted by deepnthought View Post
    I need assistance with the following problems:

    Problem 1:
    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? Show all steps carefully.

    Mr F says: Drawing a tree diagram is a simple approach to take.

    Problem # 2
    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 “just on this trip”?
    Follow Math Help Forum on Facebook and Google+

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