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Let X Geometric(p) and Y Geometric(q) and suppose X and Y are independent. Note here X and Y count the (random) number of trials until
Let X Geometric(p) and Y Geometric(q) and suppose X and Y are independent. Note here X and Y count the (random) number of trials until the first success, where p and q are the respective probabilities of success. Use your knowledge of the interpretation of the Geometric distribution to deduce (without calculations) the distribution of Z := min(X,Y)
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