Binomial Distribution Tutorial

Examples, solutions, videos, activities, and worksheets that are suitable for A Level Maths.
What is a Binomial Distribution?
Mean and Variance of a Binomial Distribution.

There are 4 properties for a Binomial Distribution

1. There are a fixed number of trials.
   
2. There are two outcomes in a trial, success or failure.
   
3. The trials are independent.
   
4. The probability of a success remains constant.
   
   A-Level Statistics : Binomial Distribution (Introduction)
   This is the 1st in a series of tutorials for the Binomial Distribution. What is a Binomial Distribution? In this tutorial you are introduced to the properties of a Binomial Distribution and the notation used

A-Level Statistics : Binomial Distribution - formula
This is the 2nd in a series of tutorials for the Binomial Distribution. In this tutorial you are introduced to the formula for working out Binomial Probabilities
The formula for P(X = r)

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A-Level Statistics : Binomial Distribution - Example Question
This is the 3rd in a series of tutorials for the Binomial Distribution.
Examples:

1. The manufacturer of a bag of sweets claims that there is a % chance that the bag contains some toffees. If 20 bags are chosen. What is the probability that
   i) all the bags contain toffees
   ii) more than 18 bags contain toffees.
   
2. In clinical trials, a certain drug has a 8% success rate of curing a known disease. If 15 people are known to have the disease. What is the probability that at least 2 are cured?

Statistics : Mean and Variance of a Binomial Distribution
In this tutorial you are shown the mean and variance of a Binomial distribution and how to tackle problems involving this.
Example:
A normal 6 sided fair die is thrown 24 times and the number of 6’s scored is recorded. Find the mean and variance.

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