S2 Tutorials – AQA A Level Maths

Contents

Discrete Random Variables
Discrete Random Variables
Poisson Distribution
Continuous Random Variables
Probability Density Functions and Cumulative Distribution Functions
Continuous Uniform /Rectangular distributions
Hypothesis Tests
Sample Mean
Contingency Tables

Discrete Random Variables

Discrete Random Variables

  1. Probability distribution tables
  2. Cumulative distribution function F(X)
  3. Expected values E(X)
  4. Expected values E(X²)
  5. Variance, Var(X)
  6. Linear combinations of discrete random variables
  7. Exam Questions - Discrete random variables

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Poisson Distribution

  1. Poisson distribution
  2. Changing the mean
  3. Finding an observed value x
  4. Exam Questions - Poisson distribution

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Continuous random variables

Probability Density Functions and Cumulative Distribution Functions

  1. What is a probability density function (p.d.f.)?
  2. Finding the constant k in a p.d.f
  3. Calculating probability from a p.d.f.
  4. The cumulative distribution function, (c.d.f)
  5. Finding the median quartiles and percentiles
  6. Finding the mode from a p.d.f.
  7. E(X) and Var(X)
  8. Exam Questions - Probability density functions and cumulative distribution functions

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Continuous Uniform / Rectangular Distribution

  1. Continuous uniform / rectangular distribution
  2. Defining the pdf, calculating probabilities and quartiles
  3. Expected mean E(X), the variance Var(X), cumulative distribution function F(X)
  4. Exam Questions - Continuous uniform / rectangular distribution

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Hypothesis Tests

Hypothesis Tests – Sample Mean

  1. Test for a sample mean
  2. Type I and II errors
  3. t distribution

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Hypothesis Tests – Contingency Tables

  1. Chi squared test for contingency tables

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