Functions relating to statistical distributions

Recall:

Where:

and

• x = Number of Failures untill the r success

• p = probability of a succes.

• r = number of successes

The geometric is a special case for the Negative Binomial w/ r = 1

example: p = .16666 and n=10. Black line is r=1, red r = 2, green r=3, ... light blue r=6

Where:

• p = probability of a succes.

• n = number of trials

example: n=20, p=.16666

Where:

• lambda= E[X] = VAR[X]

example: lambda = 3.5