# Geometric Probability Calculator

The geometric distribution is the probability of the number of failures before the first success. If a sequence of a trial has only two possible outcomes failure and success, then the geometric probability is used to find the number of failures before success. Find geometric distribution using the geometric probability calculator. Enter the value of percentile and probability of success in the geometric distribution calculator, it finds the probability of mass, lower CDF, upper CDF and mean.

## Geometric Distribution Calculator

The geometric distribution is the probability of the number of failures before the first success. If a sequence of a trial has only two possible outcomes failure and success, then the geometric probability is used to find the number of failures before success. Find geometric distribution using the geometric probability calculator. Enter the value of percentile and probability of success in the geometric distribution calculator, it finds the probability of mass, lower CDF, upper CDF and mean.

Code to add this calci to your website

#### Formula:

r = (1 - p)
u = r^{x}
f = u x p
l = 1 - r^{(x + 1)}
m = r / p
**Where,**
u = Upper CDF
l = Lower CDF
f = Probability of Mass
m = Mean
p = Probability of Success
x = Percentile x
### Example:

A boy who is in a football team is playing a match, where the probability of success is 1 and the percentile is 24, find probability of mass, lower cdf, upper cdf and mean using the geometric distribution function.

#### Solution:

To find the probability of mass:

f = (1 - 1) ^{24} x 1 = 0

To find Lower CDF:

L = 1 – (1 – 1)^{24 + 1} = 1

To find Upper CDF:

U = (1 – 1)^{24} = 0

To find Mean:

M = (1 – 1) / 1 = 0