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These are the Transum resources related to the statement: "Binomial distribution. Mean and variance of the binomial distribution".

Here are some specific activities, investigations or visual aids we have picked out. Click anywhere in the grey area to access the resource.

- Pascal's Triangle Get to know this famous number pattern with some revealing learning activities
- Plinko Probability A simulation of a Quincunx (Galton Board) which can be used to create the bell shaped curve of the normal distribution.

Here are some exam-style questions on this statement:

- "
*Mr Willis goes to school (he's a Maths teacher) five times each week during term time. On any given day, the probability that he goes on an orange bus is \( \frac13 \).*" ... more - "
*A small digital storage manufacturer makes novelty USB drives which are given away at conferences. The probability that a drive is defective is 0.03. The factory tests a random sample of 200 drives.*" ... more - "
*The probability of winning a gold coin in a game of chance is 0.6. The game is played six times. Find the probability of winning:*" ... more - "
*A famous pole vaulter finds that she is successful on 85% of her attempts at clearing five metres. Her Wikipedia entry confirms that her success rate is 85%.*" ... more - "
*Bostock and Chandler play one game of Ultimate Noughts and Crosses online each day they are in quarantine.*" ... more - "
*At the south end of Playfair Amusement park are two games of chance, Beat The Goalie and Basketball Bounce.*" ... more - "
*The length of Costlow's bâtard bread loaves in centimetres is normally distributed with mean \( \mu \). The following table shows probabilities for values of \(L\).*" ... more

Click on a topic below for suggested lesson Starters, resources and activities from Transum.

The formulas for the expected (mean) value and variance are given in the Formula Booklet

**E(X) = np**

**Var(X) = np(1-p)**

The Guidance and clarification notes in the syllabus state that "In examinations, binomial probabilities should be found using available technology. Not required: Formal proof of mean and variance."

This Binomial Distribution Video is from Revision Village and is aimed at students taking the IB Maths Standard level course.

This Bicen Maths video clip shows everything you need to memorise on this topic for A Level Statistics.

If you use a TI-Nspire GDC there are instructions useful for this topic.

How do you teach this topic? Do you have any tips or suggestions for other teachers? It is always useful to receive feedback and helps make these free resources even more useful for Maths teachers anywhere in the world. Click here to enter your comments.