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Expected Value of a Binomial Coefficient
For suitable random variables, factorial moments can be related to combinations:
$$E\left[\binom Xr\right]=\frac{E[X(X-1)\cdots(X-r+1)]}{r!}$$
Usage
- Used in combinatorial probability and counting problems.
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Expected Value of a Binomial Coefficient
For suitable random variables, factorial moments can be related to combinations:
$$E\left[\binom Xr\right]=\frac{E[X(X-1)\cdots(X-r+1)]}{r!}$$
Usage
- Used in combinatorial probability and counting problems.
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