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Math Help - Negative Binomial

  1. #1
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    Question Negative Binomial

    When I try solving the attached problem, I do not get the same answer in my book which is 0.5580.

    Since the problem is at most 20, I have done the following:

    0.04(0.96^0 + 0.96^1 + 0.96^2 + 0.96^3 + 0.96^4 + ... + 0.96^19) = 0.535243


    Any suggestions in going about this problem would be helpful!
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  2. #2
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    Quote Originally Posted by MathRules! View Post
    When I try solving the attached problem, I do not get the same answer in my book which is 0.5580.

    Since the problem is at most 20, I have done the following:

    0.04(0.96^0 + 0.96^1 + 0.96^2 + 0.96^3 + 0.96^4 + ... + 0.96^19) Mr F says: This is correct.

    = 0.535243 Mr F says: This is wrong.


    Any suggestions in going about this problem would be helpful!
    It looks like you haven't correctly used the formula for the sum of a geometric series.

    The answer is (0.04) \left( \frac{(0.96)^{20} - 1}{0.96 - 1}\right).
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