This is part of the HSC Mathematics Extension 1 course under the topic: The Binomial Distribution.

##### Some definitions:

**Sample proportion:**the number of favourable outcomes/successes**Sampling distribution:**probability distribution made from a larger number of samples.number of successes in n repeated trials of a*Binomial*random variable:*binomial*experiment.**Binomial distribution:**is the statistical distribution modelling the outcomes of two complementary events (like flipping a coin, i.e. only one even or the other can occur).

A binomial distribution has 3 main characteristics

- n the number of trials
- p the probability of success
- 1-p the probability of failure.

### Binomial distribution

Here is an introduction to what the binomial distribution is and when it is used.

### How and when to use the binomial distribution

Here are some examples using the binomial distribution and when to use it.