# Pascal Command

##### Command Categories (All commands)

Pascal( <n>, <p> )
Returns a bar graph of a Pascal distribution.

The Pascal distribution models the number of failures before the nth success in repeated mutually independent Bernoulli trials, each with probability of success p.

Pascal( <n>, <p>, <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( <n>, <p>, <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:
If the number of independent Bernoulli trials that must be successful is n = 1, the probability of success in one trial is p = \mathrm{\mathsf{ \frac{1}{6} }}, then the probability of 2 failures before the success is given by
 Pascal(1, 1/6, 2, false) which yields 0.12 in the Algebra View and 25/216 in the CAS View.
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