HSC Together Year 12 Maths Extension 1: Binomial Distribution

#### Maths Extension 1

• Proof
• Vectors
• Further Trigonometric Functions
• Further Calculus
• Further Statistical Analysis
• Back to other subjects
Back to other subjects

# Binomial Distribution

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.
• Binomial random variable: number of successes in n repeated trials of a 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.

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