Geometric distribution can be defined as a discrete probability distribution that represents the probability of getting the first success after having a consecutive number of failures

A worker opening oysters to look for pearls counts the number of oysters she has to open until she finds the first pearl.

A supervisor at the end of an assembly line counts the number of nondefective items produced until he finds the first defective one.

An electrician inspecting cable one yard at a time for defects counts the number of yards she inspects before she finds a defect.

The mean of geometric distribution is also the expected value, X, can be defined as the weighted average of all values of X

Variance can be defined as a measure of dispersion that checks how far the data in a distribution is spread out with respect to the mean

The standard deviation can be defined as the square root of the variance.

There are n repeated trials.

Each trial has two possible outcomes, in general known as "success" and "failure."

Trials are repeated until a predetermined number of successes is reached.

All trials are identical and independent; thus the probability for success remains the same for each trial.