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5. (20 points) Let X be a Negative Binomial random variable with E[ X] = 50 and Var(X ) = 200. Calculate F(13) - F(11),

5. (20 points) Let X be a Negative Binomial random variable with E[ X] = 50 and Var(X ) = 200. Calculate F(13) - F(11), where F is the CDF of X. (You can leave your answer in a form with binomial coefficients.)

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