October 2019
Beginner to intermediate
674 pages
16h 43m
English
The geometric distribution is used for independent Bernoulli trials and measures the number of trials (X) that are needed to get one success. It can also represent the number of failures (Y = X-1) before the first success.
The PMF is expressed as follows:

The preceding expression makes sense because f(k) = P(X =k), and if it takes k trials to get one success (p), then this means that we must have had k-1 failures, which are equal to (1-p).
The expectation and variance are given as follows:

The following command ...
Read now
Unlock full access