Geometric Distribution

The geometric distribution is a discrete probability mass function.

Description

The distribution describes the number of independent trials taken to achieve one success.

Prob(X=x) = p(1-p)^x+1

It follows that the tail probability is equal to:

Prob(X>x) = (1-p)^x

The distribution is memoryless. That is to say, for any 0 < s < t,

Prob(X>t|X>s) = Prob(X>t-s)

CategoryRicottone