Manuals/calci/BINOMIALPROBABILITY
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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 ==Description== *This function gives the probability value of the Binomial distribution. *A binomial experiment has the following characteristics: *1.The experiment involves repeated trials. *2.Each trial has only two possible outcomes - a success or a failure. *3.The probability that a particular outcome will occur on any given trial is constant. *4.All of the trials in the experiment are independent. *A binomial probability refers to the probability of getting EXACTLY r successes in a specific number of trials. *The number of trials refers to the number of attempts in a binomial experiment. *The number of trials is equal to the number of successes plus the number of failures. *When computing a binomial probability, it is necessary to calculate and multiply three separate factors: *1. the number of ways to select exactly r successes, *2. the probability of success (p) raised to the r power, *3. the probability of failure (q) raised to the (n - r) power. *The formula for Binomial probability is: <math>\binom{n}{r}p^r.q^{n-r}} or 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 \binom{n}{r}p^r(1-p)^{n-r}}
where n = number of trials,r = number of specific events you wish to obtain. p = probability that the event will occur, q = probability that the event will not occur.(q = 1 - p, the complement of the event)
Examples
- BINOMIALPROBABILTY(5,3,0.4)=0.23040000000000005
- BINOMIALPROBABILTY(10,4,0.25)=0.1459980010986328
- BINOMIALPROBABILTY(12,11,0.75)=0.12670540809631348