Difference between revisions of "Manuals/calci/BINOMIALPROBABILITY"
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| − | <div style="font-size:25px">''' | + | <div style="font-size:25px">'''BINOMIALPROBABILTY(NumberOftrials,NumberOfSuccess,ProbabiltyOfSuccess)'''</div><br/> |
| + | *<math> | ||
| + | |||
| + | ==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}</math> or <math>\binom{n}{r}p^r(1-p)^{n-r}</math> | ||
| + | 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 | ||
| + | |||
| + | ==See Also== | ||
| + | *[[Manuals/calci/LEVENESTEST| LEVENESTEST]] | ||
| + | *[[Manuals/calci/MOODSMEDIANTEST| MOODSMEDIANTEST]] | ||
| + | *[[Manuals/calci/RIEMANNZETA| RIEMANNZETA]] | ||
| + | |||
| + | ==References== | ||
| + | *[http://en.wikipedia.org/wiki/Binomial_distribution Binomial probability] | ||
Revision as of 11:21, 12 May 2015
BINOMIALPROBABILTY(NumberOftrials,NumberOfSuccess,ProbabiltyOfSuccess)
- or
or 
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