Pascal Command

Pascal( <Number of Successes>, <Probability of Success> )

Returns a bar graph of a Pascal distribution.

Parameters:

Number of Successes: number of independent Bernoulli trials that must be successful

Probability of Success: probability of success in one trial

Pascal( <Number of Successes>, <Probability of Success>, <Boolean Cumulative> )

Returns a bar graph of a Pascal distribution when Cumulative = false.

Returns a graph of a cumulative Pascal distribution when Cumulative = true.

First two parameters are same as above.

Pascal( <Number of Successes>, <Probability of Success>, <Variable Value>, <Boolean Cumulative> )

Let X be a Pascal random variable and v the variable value.

Returns P( X = v) when Cumulative = false.

Returns P( X ≤ v) when Cumulative = true.

First two parameters are same as above.

Note: This command also works in the CAS View.

Example:

The number of independent Bernoulli trials that must be successful is n = 1, the probability of success in one trial is p = \frac{1}{6}, the variable value is v = 2 and "Cumulative" = false.

Pascal(n, p, v, false) yields 0.12 in the Algebra View and 25/216 in the CAS View.