Difference between revisions of "Manuals/calci/CRITBINOM"
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| − | <div style="font-size:30px">'''CRITBINOM( | + | <div style="font-size:30px">'''CRITBINOM(trials,probabilitys,alpha,accuracy)'''</div><br/> |
| − | *<math> | + | *<math>trials</math> is the number of independent trials. |
| − | *<math> | + | *<math>probabilitys</math> is the probability of success in one trial. |
*<math>alpha</math> is the criterion value. | *<math>alpha</math> is the criterion value. | ||
| + | *<math>accuracy</math> gives accurate value of the solution. | ||
| + | **CRITBINOM(), returns the smallest value for which the cumulative binomial distribution is less than or equal to a criterion value. | ||
| + | |||
==Description== | ==Description== | ||
| − | * | + | *The smallest value in Cumulative Binomial Distribution probability result is the Critbinom. |
*This function is the inverse of the Cumulative Binomial Distribution. | *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. | *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( | + | *In CRITBINOM(trials,probabilitys,alpha,accuracy), <math>trials</math> is the number of independent trials that are to be done (if <math>trials</math> value is in decimal then it is converted to an integer). |
| + | *<math>probabilitys</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). | ||
| + | *<math>accuracy</math> gives accurate value of the solution. | ||
*This function gives the result as error when | *This function gives the result as error when | ||
1.Any one of the argument is non-numeric. | 1.Any one of the argument is non-numeric. | ||
| − | 2.<math> | + | 2.<math>trials<0</math>,or <math>probabilitys<0</math> or <math>probabilitys>1</math> |
| − | 3.<math>alpha<0</math> or <math>alpha>1</math> | + | 3.<math>alpha<0</math> or <math>alpha>1</math>. |
| + | |||
| + | ==ZOS== | ||
| + | *The syntax is to calculate CRITBINOM in ZOS is <math>CRITBINOM(trials,probabilitys,alpha,accuracy)</math>. | ||
| + | **<math>trials</math> is the number of independent trials. | ||
| + | **<math>probabilitys</math> is the probability of success in one trial. | ||
| + | **<math>alpha</math> is the criterion value. | ||
| + | **<math>accuracy</math> gives accurate value of the solution. | ||
| + | *For e.g.,CRITBINOM(5..8,0.5,0.4,0.02) | ||
| + | {{#ev:youtube|VqXa3JGsSvY|280|center|CRITBINOM }} | ||
==Examples== | ==Examples== | ||
| Line 18: | Line 32: | ||
#CRITBINOM(8,0.1,0.25) = 1 | #CRITBINOM(8,0.1,0.25) = 1 | ||
#CRITBINOM(20,0.75,0.65) = 16 | #CRITBINOM(20,0.75,0.65) = 16 | ||
| − | #CRITBINOM(20,1,1.5) = | + | #CRITBINOM(20,1,1.5) = #N/A (ALPHA IN BETWEEN 0 AND 1 REQUIRED) |
#CRITBINOM(9.5,0.4,0.35) = 3 | #CRITBINOM(9.5,0.4,0.35) = 3 | ||
| − | #CRITBINOM(12,-0.25,0.3) = | + | #CRITBINOM(12,-0.25,0.3) = #N/A (PROBABILITY IN BETWEEN 0 AND 1 REQUIRED) |
| + | |||
| + | ==Related Videos== | ||
| + | |||
| + | {{#ev:youtube|L6YX3ug1znM|280|center|Cumulative Probability}} | ||
==See Also== | ==See Also== | ||
| Line 28: | Line 46: | ||
*[[Manuals/calci/FACT | FACT ]] | *[[Manuals/calci/FACT | FACT ]] | ||
==References== | ==References== | ||
| − | [http://en.wikipedia.org/wiki/ | + | [http://en.wikipedia.org/wiki/Binomial_distribution Binomial Distribution] |
| + | |||
| + | |||
| + | |||
| + | |||
| + | *[[Z_API_Functions | List of Main Z Functions]] | ||
| + | |||
| + | *[[ Z3 | Z3 home ]] | ||
Latest revision as of 03:32, 25 August 2020
CRITBINOM(trials,probabilitys,alpha,accuracy)
- is the number of independent trials.
- is the probability of success in one trial.
- is the criterion value.
- gives accurate value of the solution.
- CRITBINOM(), returns the smallest value for which the cumulative binomial distribution is less than or equal to a criterion value.
is the number of independent trials.
is the probability of success in one trial.
is the criterion value.
gives accurate value of the solution.
Description
- The smallest value in Cumulative Binomial Distribution probability result is the Critbinom.
- 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(trials,probabilitys,alpha,accuracy), is the number of independent trials that are to be done (if value is in decimal then it is converted to an integer).
- is the probability of success in one trial and is the criterion value of the Cumulative Binomial Distribution (must be between 0 and 1).
- gives accurate value of the solution.
- This function gives the result as error when
1.Any one of the argument is non-numeric. 2.,or or 3. or .
,or 
or 
3.
or 
.
ZOS
- The syntax is to calculate CRITBINOM in ZOS is .
- is the number of independent trials.
- is the probability of success in one trial.
- is the criterion value.
- gives accurate value of the solution.
- For e.g.,CRITBINOM(5..8,0.5,0.4,0.02)
.
Examples
- 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) = #N/A (ALPHA IN BETWEEN 0 AND 1 REQUIRED)
- CRITBINOM(9.5,0.4,0.35) = 3
- CRITBINOM(12,-0.25,0.3) = #N/A (PROBABILITY IN BETWEEN 0 AND 1 REQUIRED)
Related Videos
See Also
References