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Using JMP - SAS

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426 Formula Functions Reference Appendix B<br />

Discrete Probability Functions<br />

Beta Binomial Distribution<br />

Returns the probability or pmf that a beta binomially distributed random variable is less than or equal to x.<br />

In general, the beta binomial functions accept arguments that are the probability of success p (the event of<br />

interest), the overdispersion parameter delta, and the number of trials n. When the overdispersion parameter<br />

for the beta binomial is zero, the distribution reduces to a binomial(p, n).<br />

Beta Binomial Probability<br />

Returns the probability or cmf that a beta binomially distributed random variable is equal to x. When the<br />

overdispersion parameter for the beta binomial is zero, the distribution reduces to a binomial(p, n).<br />

Beta Binomial Quantile<br />

Returns the smallest integer quantile for which the cumulative probability of the Beta Binomial (p, n, delta)<br />

distribution is larger than or equal to the specified probability. When the overdispersion parameter for the<br />

beta binomial is zero, the distribution reduces to a binomial (p, n).<br />

Hypergeometric Distribution<br />

Computes the probability that a random variable from a hypergeometric distribution is less than or equal to<br />

x. The hypergeometric distribution models the total number of successes in a fixed sample drawn without<br />

replacement from a finite population. The hypergeometric functions accept as arguments the size of the<br />

population N, the total number of items with the desired characteristic in the population, K, the number of<br />

samples drawn n, and the number of successes in the sample x.<br />

Hypergeometric Probability<br />

Computes the probability that a random variable from a hypergeometric distribution is equal to x.<br />

Poisson Distribution<br />

Computes the probability that a random variable from a Poisson distribution with mean lambda is less than<br />

or equal to the count of interest. In general, Poisson functions accept an argument that is the count of<br />

interest, and lambda, the mean parameter.<br />

Poisson Probability<br />

Computes the probability that a random variable from a Poisson distribution with mean lambda is equal to<br />

the count of interest.<br />

Poisson Quantile<br />

Returns the smallest integer quantile for which the cumulative probability of the Poisson (lambda)<br />

distribution is larger than or equal to p.

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