0 otherwise statistics 1 e x p 2 varx math

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Unformatted text preview: f x = 1, 2, 3, . . . 0 otherwise Statistics: 1 µ = E (X ) = p σ 2 = Var(X ) = Math 30530 (Fall 2012) q p2 Discrete Random Variables October 7, 2012 4 / 10 The Negative Binomial random variable Name: NegBinomial(r , p) When to use: When you want to count how many times you have to repeat the same experiment, independently of each other, until you first have some predetermined number of successes Parameters: r : the number of successes you are aiming for p: the probability of success on each individual trial Mass function: pX (x ) = x −1 r −1 0 q x −r p r if x =...
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