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Math Help - Rand. Variable

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    Rand. Variable

    If a random variable W only takes on the values 0,1,2,......,n-1 and its Probability Generating Function is p(t) = (t^n - 1)/{n(t - 1)}.
    Determine P(W=2).
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    Quote Originally Posted by matty888 View Post
    If a random variable W only takes on the values 0,1,2,......,n-1 and its Probability Generating Function is p(t) = (t^n - 1)/{n(t - 1)}.
    Determine P(W=2).
    You should know that \Pr(W = w) = \left. \frac{1}{w!} \, \frac{d^w p}{dt^w} \right|_{t = 0}.

    In your question w = 2. The differentiation etc. is left for you to do.
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