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
- There are a fixed number of trials.
- There are two outcomes in a trial, success or failure.
- The trials are independent.
- 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)
A-Level Statistics : Binomial Distribution - Example Question
This is the 3rd in a series of tutorials for the Binomial Distribution.
Examples:
- 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. - 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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