Topic module: Further Statistics AS AQA

Combining means and variances from distributions

What are Type I and Type II errors?

Type 1 error for a Poisson distribution

Type I error for a Binomial distribution

Mode from a discrete probability distribution

Median from a discrete probability distribution

Discrete uniform distribution

Exam Questions – Discrete random variables

These questions are from another board but may help in your revision

Expected values E(X²)

Confidence intervals for the mean of a normal population

Chi squared test for contingency tables

Sum of two Poisson distributions

Hypothesis test for the population mean

Exam Questions – Hypothesis tests: Poisson distribution

Exam Questions – Continuous uniform / rectangular distribution

Exam Questions – Probability density functions and cumulative distribution functions

Exam Questions – Poisson distribution

Two tailed test

Upper tail test

Lower tail test

Test for a Poisson mean

Expected mean E(X), the variance Var(X), cumulative distribution function F(X)

Defining the pdf, calculating probabilities and quartiles

Continuous uniform / rectangular distribution

E(X) and Var(X)

Finding the mode from a p.d.f.

Finding the median quartiles and percentiles

The cumulative distribution function, (c.d.f)

Calculating probability from a p.d.f.

Finding the constant k in a p.d.f

What is a probability density function (p.d.f.)?

Finding an observed value x

Changing the mean

Poisson distribution

Linear combinations of discrete random variables

Variance, Var(X)

Expected values E(X)

Probability distribution tables