Question

Define binomial distribution with an example.

Step 1

Binomial distribution is one of the important study in probability distributions. In binomial distribution, the problems are solved based on two possible outcomes success/failure, true/false, and yes/no. the binomial probability distribution is discrete.

Step 2

The binomial distribution gives the probability of number of successes out of *n* trials in a series of Bernoulli trials.

The probability mass function (pmf) of a binomial random variable *X* is given as:

Step 3

To use the binomial distribution, the following conditions should be satisfied.

- Each trial has exactly two possible outcomes.
- There are
*n*number of trials, in which*p*is the probability of success and*q*(= 1&nbs...

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