Manuals/calci/BINOMIALPROBABILTY

BINOMIALPROBABILTY (NumberOftrials,NumberOfSuccess,ProbabiltyOfSuccess)

Description

• This function shows the value of Binomial Probability.
• In $BINOMIALPROBABILTY(NumberOftrials,NumberOfSuccess,ProbabiltyOfSuccess)$,Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle NumberOf trials} is the number of times of the trials.
• Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle NumberofSuccess} is the results of the success.
• Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 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:

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle b(x; n, P) = _nC_x* P^x *(1 - P)^{n - x}}