Manuals/calci/BINOMIALPROBABILTY

BINOMIALPROBABILTY (NumberOftrials,NumberOfSuccess,ProbabiltyOfSuccess)

• $NumberOftrials$ is any number of trials.

Description

• This function shows the value of Binomial Probability.
• In $BINOMIALPROBABILTY(NumberOftrials,NumberOfSuccess,ProbabiltyOfSuccess)$,$NumberOftrials$ is the number of times of the trials.
• $NumberofSuccess$ is the results of the success.
• $ProbabilityOfSuccess$ is the value of the Probability.
• The binomial probability refers to the probability that a binomial experiment results in exactly x successes.
• Suppose a binomial experiment consists of n trials and results in x successes.
• If the probability of success on an individual trial is P, then the binomial probability is:

$b(x;n,P)=_{n}C_{x}*P^{x}*(1-P)^{n-x}$

Examples

1. BINOMIALPROBABILTY(5,2,1/6) = 0.1607510288065844
2. BINOMIALPROBABILTY(10,4,1/3)= 0.2276075801453032
3. BINOMIALPROBABILTY(20,19,1/9) = 1.3160421343951921e-17

See Also

• BINOMIAL
• BINOMIALCOEFFICIENT
• BINOMIALDISTRIBUTED

References

• [1]

• List of Main Z Functions

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