# Geometric Distribution Calculator

Geometric distribution calculator is an online statistical tool to calculate the geometric distribution of a data. In statistics, there are two common versions of the geometric distribution.

If X is defined over the range x=1,2,3,....$\infty$ and has the probability density function,

where 0 ≤ p ≤ -1, we would say that X has the geometric distribution beginning at 1.

If it is defined over the range x=0,1,2,..... $\infty$ and probability density function is given by,If X is defined over the range x=1,2,3,....$\infty$ and has the probability density function,

p(x) = p(1-p)

= 0

^{x-1}**x=1,2,3,....$\infty$**= 0

**otherwise**p(x)=p(1-p)

^{x}

^{}

**x=0,1,2,....$\infty$**

=0

**otherwise**

we would say that X has the geometric distribution beginning at 0.

The mean and variance fo r the geometric distribution beginning at 1 are

Mean:$\frac{1}{p}$

Variance:$\frac{1-p}{p^{2}}$

When the distribution begins at 0, the variance is the same but the mean is $\frac{1-p}{p}$