Manuals/calci/BINOMIALDISTRIBUTED

BINOMIALDISTRIBUTED (Numbers,Probability,Trials)

$Numbers$ is the number of variables.
$Probability$ is the value from 0 to 1.
$Trials$ is the any positive real number.

Description

This function gives the value of the Binomial distribution.
In $BINOMIALDISTRIBUTED(Numbers,Probability,Trials)$ , $Numbers$ is the number of the variables and $Probability$ is the probability value which varies from 0 to 1. $Trial$ is any positive real number.
This gives the discrete probability distribution.
The probability of getting exactly k successes in n trials is given by the Probability Mass Function:

$b(k;n,p)=Pr(X=k)={\binom {n}{k}}p^{k}(1-p)^{n-k}$ for k=0,1,2,3...n where ${\binom {n}{k}}$ is the COMBIN(n,k) i.e. ${\binom {n}{k}}={\frac {n!}{k!(n-k)}}!$