Negative Binomial PMF

Rarely Tested

Negative Binomial PMF

For the number of trials X needed to obtain the rth success:

$$P(X=k)=\binom{k-1}{r-1}p^r(1-p)^{k-r},\qquad k=r,r+1,\ldots$$

Usage

- Used to calculate the probability that the rth success occurs on trial k.

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