Question: Let X, Y, and Z be independent geometric random variables with the px (k) = py(k) = pz (k)=p(1-p)k-1, where p is a scalar

Let X, Y, and Z be independent geometric random variables with the px (k) = py(k) = pz (k)=p(1-p)k-1, where p is a scalar with 0 < p < 1. Find P(X = k | X + Y + Z = n). Hint: Try thinking in terms of coin tosses. same PMF:

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