Question

Provide one (1) real-life example or application of a binomial distribution. Explain how the example matches the conditions for the binomial distribution.

Answer 1

Binomial distribution describes the possible number of times that a particular event will occur in a sequence of observation.

The conditions for the binomial distribution.

1) Each trial can have only two outcomes which can be considered success or failure.

2) There must be a fixed number of trials.

3) The outcomes for each trials must be independent to each other.

4) The probability of success must remain the same in each trial.

Lest see a real-life example of the binomial distribution.

A certain surgical procedure has an 85% chance of success. A doctor performs the procedure on eight patients.

The random variable the number of successful surgeries.

Each surgery represents a trial.

There are eight surgeries and each one is independent of the others.

There are only two possible outcomes of interest for each surgery: success and failure.

The probability of success is 0.85 for each surgery.