Manuals/calci/CRITBINOM

CRITBINOM(trials,probabilitys,alpha,accuracy)

• $trials$ is the number of independent trials.
• $probabilitys$ is the probability of success in one trial.
• $alpha$ is the criterion value.
• $accuracy$ 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), $trials$ is the number of independent trials that are to be done (if $trials$ value is in decimal then it is converted to an integer).
• $probabilitys$ 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).
• $accuracy$ gives accurate value of the solution.
• This function gives the result as error when

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

ZOS

• The syntax is to calculate CRITBINOM in ZOS is $CRITBINOM(trials,probabilitys,alpha,accuracy)$.
  • $trials$ is the number of independent trials.
  • $probabilitys$ is the probability of success in one trial.
  • $alpha$ is the criterion value.
  • $accuracy$ gives accurate value of the solution.
• For e.g.,CRITBINOM(5..8,0.5,0.4,0.02)

CRITBINOM

Examples

1. CRITBINOM(5,0.6,0.4) = 3
2. CRITBINOM(8,0.1,0.25) = 1
3. CRITBINOM(20,0.75,0.65) = 16
4. CRITBINOM(20,1,1.5) = #N/A (ALPHA IN BETWEEN 0 AND 1 REQUIRED)
5. CRITBINOM(9.5,0.4,0.35) = 3
6. CRITBINOM(12,-0.25,0.3) = #N/A (PROBABILITY IN BETWEEN 0 AND 1 REQUIRED)

Related Videos

Cumulative Probability

See Also

• BINOMDIST
• NEGBINOMDIST
• COMBIN
• FACT

References

Binomial Distribution

• List of Main Z Functions

• Z3 home