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Math Help - Statistics question

  1. #1
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    Question Statistics question

    Thanks to the one who tackles this question.


    The probability is 1 in 4,000,000 that a single auto trip in the U.S. 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 reasoning.
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  2. #2
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    Prob of fatality = 1/40000000
    Prob of not fatal = 39999999/40000000 (using 1 - prob of fatality)

    Driver makes 5000 drives
    you can model this using a binomial distribution
    X ~ B(5000,1/40000000)

    Probablity that he has n fatalities =
    50000CN*(1/400000000)*(39999999/400000000)

    Hope this helps. Im not sure if this is correct but it is what i would do. NB: i approximated at the number of zero's as I was in a hurry. Alter as appropriate)
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