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    Geometric Random Variables

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    I need some help learning how to apply the normal approximation in this question:
    Suppose that Yn for NB(n,p). Give a normal approximation for P(Yn<y) for large n.
    Hint: Yn is distributed as the sum of n independent geometric random variables. Use the negative binomial distribution (see attached file for better formula representation).

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    Solution Summary

    This solution contains step-by-step calculations on how to conduct a normal approximation for P(Yn<y) for a large n.