Probability & Statistics Notes & Exercises

(See also STEP page) (recently added material is in green)

Probability & Statistics [Important Ideas] (10 pages; 28/6/21)

Exam Board topics - Prob. & Stats (11 pages; 30/6/21)

Useful Results (4 pages; 9/7/21)

Binomial distribution (7 pages; 16/2/17)

Chi-Square Tests (12 pages; 19/4/24)

Chi-Square Exs

  Contingency Tables (Exs) 2a 2b

  Goodness of Fit (Ex) 1

Conditional Probability (2 pages; 1/2/23)

Confidence Intervals - Types (3 pages; 16/4/16)

Correlation & Regression

Correlation (13 pages; 27/2/23)

Rank Correlation (5 pages; 23/8/19)

Regression (8 pages; 23/8/19)
Correlation Exs 1 2 3

Counting: See Probability & Counting 

Discrete Random Variables (8 pages; 4/2/23)

Discrete Random Variables Exs 1 2 3 4

Geometric distribution (3 pages; 12/11/18)

Geometric Distribution Exs 1 2

Hypothesis Tests - General (3 pages; 22/5/20)

Hypothesis Tests - Types (8 pages; 24/1/20)

Linear Coding (2 pages; 8/7/21)

Normal distribution (9 pages; 21/2/17)

Normal Distribution Exs 1 2

Poisson distribution (7 pages; 10/2/21)

Approximations to Binomial & Poisson (4 pages; 30/1/17)

Poisson Distribution Exs 1 2 3 4

Probability & Counting

Probability & Counting Approaches (12 pages; 21/3/24)

Selections (6 pages; 15/3/24)

Probability Exs 1 2

Probability Generating Functions (5 pages; 16/4/21)

Probability Generating Function Exs 1 2

Sampling (4 pages; 7/8/17)

Uniform distribution (Discrete) (2 pages; 20/3/20)

Uniform Distribution (Discrete) Ex 1

Variance

Sample variance (3 pages; 8/7/21)