Given independent Bernoulli trials with probability of success , the frequency function of the number of trials until the -th success is

The frequency function and the cumulative distribution function (CDF) with parameter and , are displayed up to the value of outcome.

becomes a negative binomial random variable with parameter .

The frequency function and the cumulative distribution function can be shown graphically.

**Example 4.**
What is the average number of times one must throw a die until
the outcome ``1'' has occurred 4 times?

Generated by MATH GO: 2005-11-16