S2 Edexcel International A Level (IAL) Tutorials

Here you will find a list of S2 Edexcel International (IAL) tutorials that I have produced

Discrete Random Variables

Binomial Distribution

  1. Binomial distribution
  2. Binomial probabilities on a calculator
  3. Cumulative probability tables
  4. Mean and variance
  5. Exam Questions - Binomial distribution

Poisson Distribution

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

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

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

Statistical Approximations

Poisson Approximation to the Binomial Distribution

  1. Poisson approximation to the binomial distribution
  2. Exam Questions - Poisson approximation to the binomial distribution

Normal Approximation to the Binomial and Poisson Distributions

  1. Continuity corrections
  2. The normal approximation to the binomial distribution
  3. Exam Questions - Normal approximation to the binomial distribution
  4. The normal approximation to the Poisson distribution
  5. Exam Questions - Normal approximation to the Poisson distribution

Estimation and Sampling

Estimation and Sampling

  1. Simple random sampling
  2. What is a statistic?
  3. Sampling distribution of the sample mean
  4. Sampling distribution of the mode and median
  5. Exam Questions - Estimation and sampling, Median
  6. Exam Questions - Estimation and sampling, Range

Hypothesis Tests

Hypothesis Tests – Binomial Distribution

  1. Test for a binomial proportion
  2. Lower tail test
  3. Upper tail test
  4. Critical values - lower tail test
  5. Critical values - upper tail test
  6. Two tailed test
  7. Exam Questions - Hypothesis tests: binomial distribution

Hypothesis Tests – Poisson Distribution

  1. Test for a Poisson mean
  2. Lower tail test
  3. Upper tail test
  4. Two tailed test
  5. Exam Questions - Hypothesis tests: Poisson distribution