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StatsBinomialPDF

StatsBinomialPDF (x, p, Ν)

The StatsBinomialPDF function returns the binomial probability distribution function

f(x;p,N)=(Nx)px(1p)Nx,x=0,1,2,\displaystyle f(x ; p, N)=\binom{N}{x} p^{x}(1-p)^{N-x}, \quad x=0,1,2, \ldots

where

(Nx)=N!x!(Nx)!.\displaystyle \binom{N}{x}=\frac{N!}{x!(N-x)!} .

is the probability of obtaining x "good" outcomes in N trials where the probability of a single successful outcome is p.

See Also

Statistical Analysis, StatsBinomialCDF, StatsInvBinomialCDF