Difference between revisions of "Manuals/calci/BINOMIALPROBABILTY"

Latest revision as of 16:28, 27 December 2018

BINOMIALPROBABILTY (NumberOftrials,NumberOfSuccess,ProbabiltyOfSuccess)

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:

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

@@ Line 1: / Line 1: @@
 <div style="font-size:30px">'''BINOMIALPROBABILTY (NumberOftrials,NumberOfSuccess,ProbabiltyOfSuccess)'''</div><br/>
+*<math>NumberOftrials</math> is any number of trials.
@@ Line 11: / Line 12: @@
 *If the probability of success on an individual trial is P, then the binomial probability is:
 <math>b(x; n, P) = _nC_x* P^x *(1 - P)^{n - x}</math>
+==Examples==
+#BINOMIALPROBABILTY(5,2,1/6) = 0.1607510288065844
+#BINOMIALPROBABILTY(10,4,1/3)= 0.2276075801453032
+#BINOMIALPROBABILTY(20,19,1/9) = 1.3160421343951921e-17
+==See Also==
+*[[Manuals/calci/BINOMIAL  | BINOMIAL  ]]
+*[[Manuals/calci/BINOMIALCOEFFICIENT | BINOMIALCOEFFICIENT]]
+*[[Manuals/calci/BINOMIALDISTRIBUTED  | BINOMIALDISTRIBUTED ]]
+==References==
+*[http://stattrek.com/probability-distributions/binomial.aspx]
+*[[Z_API_Functions | List of Main Z Functions]]
+*[[ Z3 |   Z3 home ]]