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Math Help - Problem using the geometric distribution

  1. #1
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    Problem using the geometric distribution

    Suppose three fair dice are tossed repeatedly. Let the random variable X denote the roll on which a sum of 4 appears for the first time. Use the expression Fx(t) = P(X <= t) = 1 - (1 - p)^[t], where [t] denoted the greatest integer in t, t>=0, to evaluate P(65 <= X <= 75).
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  2. #2
    MHF Contributor matheagle's Avatar
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    not sure why you have a greatest integer, since this is an integer valued rv

    p=P((1,1,2){\rm\;\;  in \;\; some\;\; order})={3\over 6^3}
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