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### Mean and variance of Bernoulli distribution

• date 6th July, 2019 |
• by Prwatech |
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# Mean and variance of Bernoulli distribution tutorial

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## What is the Bernoulli distribution?

Bernoulli distribution is a discrete probability distribution for a Bernoulli trial

Consider a random experiment that will have only two outcomes (“Success” and a “Failure”).

For example, the probability of getting a head while flipping a coin is 0.5. The probability of “failure” is denoted as 1 – Probability of getting a head.

It is a special scenario of the binomial distribution for n = 1. i.e. it is a binomial distribution having a single trial (e.g. a single coin toss).

In the following Bernoulli distribution, the probability of success (1) is 0.7, and the probability of failure (0) is 0.3

### Mean and Variance of Bernoulli Distribution Example

The probability of India winning the cricket World Cup 2019 is 80%. Find Its Mean, Variance and Standard Deviation according to Bernoulli Distribution.

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