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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CAT Formulas
Probability
Negative Binomial PMF
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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