Difference between revisions of "Manuals/calci/BINOMIALDISTRIBUTED"

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*This gives  the discrete probability distribution.
 
*This gives  the discrete probability distribution.
 
*The probability of getting exactly  k  successes in  n  trials is given by the Probability Mass Function:
 
*The probability of getting exactly  k  successes in  n  trials is given by the Probability Mass Function:
 +
<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>
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*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>

Revision as of 13:43, 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: