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Math Help - verification of evaluation of a formula

  1. #1
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    verification of evaluation of a formula

    Calculating a poisson probability one uses the formula (at least at this point in my class)

    e^(-y) times (y^x)/(x!)

    where x is the number of occurrences and y is the average number of occurrences per time period.

    for x=10 and y=5 I get

    e^(-5)*((5^10)/(10!))




    e^(-5) = 0.00673794699
    5^10 = 9765625
    10! = 3628800


    so we have 0.00673794699 times (9765625/3628800)
    becomes 0.00673794699 times 2.69114445547
    which gives 0.01813278868 or 0.0181 to four decimal places
    But the correct answer is supposed to be 0.0137

    where did I go wrong?

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  2. #2
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    Re: verification of evaluation of a formula

    You didn't do anything wrong. 0.0181 is correct.
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  3. #3
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    Re: verification of evaluation of a formula

    the answer key must have had an error then. Thanks!
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