Difference between revisions of "Manuals/calci/CRITBINOM"

Revision as of 02:30, 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 in to 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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 *<math>alpha</math> is the criterion value.
 ==Description==
-*This function gives the smallest value for which the cumulative binomial distribution is a specified probability.
+*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(the ts value is in decimal then it is converted in to integer) ,ps is the  probability of success in one trial and alpha 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 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).
 *This function gives the result as error when
-#Any one of the argument is nonnumeric.
+.Any one of the argument is non-numeric.
-#ts<0,or ps<0 or ps>1
+.<math>ts<0</math>,or <math>ps<0</math> or <math>ps>1</math>
-#alpha<0 or alpha>1
+.<math>alpha<0</math> or <math>alpha>1</math>
 ==Examples==