Difference between revisions of "Manuals/calci/CRITBINOM"

Revision as of 03:34, 10 December 2013

CRITBINOM(ts,ps,alpha)

This function gives the smallest value for which the Cumulative Binomial Distribution is a specified probability.
This function is the inverse of the Cumulative Binomial Distribution.
For example, the Critbinom function could be used to find the smallest number of through the dice for which there is a 40% chance of at least 10 six's.
In CRITBINOM(ts,ps,alpha), $ts$ is the number of independent trials that are to be done (if $ts$ value is in decimal then it is converted to an integer) , $ps$ is the probability of success in one trial and $alpha$ is the criterion value of the Cumulative Binomial Distribution (must be between 0 and 1).
This function gives the result as error when

1.Any one of the argument is non-numeric.
2. $ts<0$ ,or  $ps<0$  or  $ps>1$ 
3. $alpha<0$  or  $alpha>1$

CRITBINOM(5,0.6,0.4) = 3
CRITBINOM(8,0.1,0.25) = 1
CRITBINOM(20,0.75,0.65) = 16
CRITBINOM(20,1,1.5) = NAN
CRITBINOM(9.5,0.4,0.35) = 3
CRITBINOM(12,-0.25,0.3) = NAN

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 *This function is the inverse of the Cumulative Binomial Distribution.
 *For example, the Critbinom function could be used to find the smallest number of through the dice for which there is a 40% chance of at least 10 six's.
-*In CRITBINOM(ts,ps,alpha), <math>ts</math> is the number of independent trials that are to be done(if <math>ts</math> value is in decimal then it is converted in to integer) ,<math>ps</math> is the  probability of success in one trial and <math>alpha</math> is the criterion value of the Cumulative Binomial Distribution (must be between 0 and 1).
+*In CRITBINOM(ts,ps,alpha), <math>ts</math> is the number of independent trials that are to be done (if <math>ts</math> value is in decimal then it is converted to an integer) ,<math>ps</math> is the  probability of success in one trial and <math>alpha</math> is the criterion value of the Cumulative Binomial Distribution (must be between 0 and 1).
 *This function gives the result as error when
 .Any one of the argument is non-numeric.