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    The Minimum of Two Independent Geometric Random Variables

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    Let H be a random variable with probability p1 that has a Geometric distribution G1 Let Y be a random variable with probability p2 that has a Geometric distribution G2

    H and Y are two independent geometric random variables.

    What is distribution of Z =min(H,Y)

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    https://brainmass.com/math/discrete-structures/minimum-two-independent-geometric-random-variables-345248

    Solution Summary

    This problem shows in detail that the minimum of two independent geometrically-distributed random variables is itself geometrically distributed.

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