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 tutorial

 

Mean and Variance of Bernoulli Distribution Formula

 

Mean and variance of Bernoulli distribution formula

 

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.

 

Mean and variance of Bernoulli distribution

 

Mean and variance of Bernoulli distribution example with formula

We hope you have understood the basics of the mean and variance of binomial distribution tutorial and its formula with examples in data science. Interested in learning more? Then Get enroll with Prwatech for advanced Data science training institute in Bangalore with 100% placement assistance.

 

 

 

 

 

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