Difference between revisions of "Manuals/calci/BINOMIALDISTRIBUTED"
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<math> b(k;n,p)=Pr(X = k) = \binom{n}{k}p^{k}(1-p)^{n-k}</math> for k=0,1,2,3...n where <math>\binom{n}{k}</math> is the COMBIN(n,k) i.e.<math> \binom{n}{k} = \frac{n!}{k!(n-k)}!</math> | <math> b(k;n,p)=Pr(X = k) = \binom{n}{k}p^{k}(1-p)^{n-k}</math> for k=0,1,2,3...n where <math>\binom{n}{k}</math> is the COMBIN(n,k) i.e.<math> \binom{n}{k} = \frac{n!}{k!(n-k)}!</math> | ||
− | *The Cumulative Binomial Distribution is:<math>B(x;n,p) = Pr(X \le x) =\sum_{i=0}^x \binom{n}{i}p^{i}(1-p)^{(n-i)}</math> | + | *The Cumulative Binomial Distribution is:<math>B(x;n,p) = Pr(X \le x) =\sum_{i=0}^x \binom{n}{i}p^{i}(1-p)^{(n-i)}</math>. |
+ | |||
+ | ==Examples== | ||
+ | #BINOMIALDISTRIBUTED(10,0.4) = 0 0 0 0 0 0 0 0 | ||
+ | |||
+ | ==See Also== | ||
+ | |||
+ | *[[Manuals/calci/BINOMDIST | BINOMDIST]] | ||
+ | *[[Manuals/calci/COMBIN | COMBIN]] | ||
+ | *[[Manuals/calci/FACT | FACT]] | ||
+ | |||
+ | ==References== | ||
+ | [http://en.wikipedia.org/wiki/Binomial_distribution Binomial Distribution] |
Revision as of 14:59, 13 December 2016
BINOMIALDISTRIBUTED (Numbers,Probability)
- is the number of variables.
- is the value from 0 to 1.
Description
- This function gives the value of the Binomial distribution.
- In , is the number of the variables and is the probability value which varies from 0 to 1.
- This gives the discrete probability distribution.
- The probability of getting exactly k successes in n trials is given by the Probability Mass Function:
for k=0,1,2,3...n where is the COMBIN(n,k) i.e.
- The Cumulative Binomial Distribution is:.
Examples
- BINOMIALDISTRIBUTED(10,0.4) = 0 0 0 0 0 0 0 0