Difference between revisions of "Manuals/calci/CRITBINOM"
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*<math>alpha</math> is the criterion value. | *<math>alpha</math> is the criterion value. | ||
*<math>accuracy</math> gives accurate value of the solution. | *<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== | ||
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#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) |
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+ | ==Related Videos== | ||
+ | |||
+ | {{#ev:youtube|L6YX3ug1znM|280|center|Cumulative Probability}} | ||
==See Also== | ==See Also== | ||
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==References== | ==References== | ||
[http://en.wikipedia.org/wiki/Binomial_distribution Binomial Distribution] | [http://en.wikipedia.org/wiki/Binomial_distribution Binomial Distribution] | ||
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+ | *[[Z_API_Functions | List of Main Z Functions]] | ||
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+ | *[[ Z3 | Z3 home ]] |
Latest revision as of 04:32, 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.
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 .
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