Discrete Random Variables and Expectation - AS level Further Maths Statistics

These PowerPoints form full lessons of work that together cover the new AS level Further Maths course for the AQA exam board. Together all the PowerPoints include;
A complete set of notes for students
Model examples
Probing questions to test understanding
Class questions including answers
Individual whiteboard work
Links to exercises in ‘AQA approved textbooks by Camb uni Press’ these can easily be edited for your textbook
The PowerPoints can be used in the lesson and also given to students that have missed a lesson
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Statistics – Discrete random variables and expectation covers;

• Understand DRVs with distributions given in the form of a table or function
• Evaluate probabilities for a DRV
• Evaluate measures of average and spread for a DRV to include mean, variance, standard deviation, mode or median
• Understand expectation and know the formulae:
  * E(X)=∑x p
  * E(X^2 )=∑^2 p
  * Var(X)=E(X^2)-E(X)^2
• Understand expectation of linear functions of DRVs and know the formulae:
  * E(aX+b)=aE(X)+b
  * Var(aX+b)=a^2 Var(X)
• Know the discrete uniform distribution defined on the set {1, 2, …, n}.
• Understand when this distribution can be used as a model.
• Proof of mean and variance of discrete uniform distribution.