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**Unformatted text preview: **rule: N-M distinct objects of type 2 ( , ) M distinct objects of type 1 Sample: n out of a total of N. pmf: 3 Section 3.5 The Negative Binomial Distribution. .. Binomial: Negative Binomial: 4 Section 3.5 3 The Negative Binomial Distribution. .. pmf: 1. Infinite population 2. Sequence of trials: each results in success (S) or failure (F) 3. Trials are independent and identical ( P(S)=p remains same) 4. Continue till you observe “ r” (fixed before hand) success X = # of failures observed till the termination is Negative Binomial RV ...is the exact probability model for the “# of failures” needed to observe a predetermined number of successes. 5 Section 3.5...

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