Exam-Ready Series: Further Probability & Statistics Course

A course designed to help you master important concepts and pass your exams once and for all!

  • Video Tutorials

    For each syllabus topic, you will get a series of videos where the core concepts are well-explained with relevant worked examples to give you a deeper understanding

  • Exam-Style Questions

    Learn how to answer typical exam questions with confidence. In this course, you will be exposed to worked example videos which demonstrate how to answer exam questions.

  • Worksheets

    Each topic has downloadable worksheets (with solutions) to help you test your understanding along the way. All the questions within the worksheets are from past papers.

Course curriculum

  • 1
    Continuous Random Variables
    • Introduction
    • Piecewise Definition
    • Expectation of any function
    • Worked Example 1
    • The Cumulative Distribution Function
    • Worked Example 2
    • Median, Quartiles & Percrentiles
    • Obtaining the PDF from the CDF
    • Finding the CDF and PDF of a related variable
    • Worked Example 3
    • Worksheet 1
    • Woorksheet 2
  • 2
    Inference Using Normal and t-distributions
    • The t-distribution
    • The mean of a normal population with unknown variance
    • Confidence Interval for the Population Mean
    • Confidence Interval for the Population Mean – Worked Examples
    • Hypothesis Testing (the t-Test)
    • Hypothesis Testing (the t-Test) – Worked Example
    • Worksheet 1
    • Testing the difference between two population means (Worked Example)
    • Two-sample t-Tests
    • Inference - Hypothesis difference pop means (worked example)
    • Calculating Pooled Estimates for the Population Mean
    • Two-sample t-Tests (worked example)
    • Confidence Interval for the Difference in Population Means (Large Samples)
    • Confidence Interval for the Difference in Population Means (Small Samples)
    • Worksheet 2
    • Paired sample t-tests
    • Worksheet 3
  • 3
    Chi-Squared Tests
    • Chi-squared - Introduction
    • Goodness of Fit Tests (Introduction)
    • Chi-squared - Goodness of Fit (Binomial 1)
    • Chi-squared - Goodness of Fit (Binomial 2)
    • Chi-squared - Goodness of Fit (Geometric)
    • Chi-squared - Goodness of Fit (Poisson)
    • Worksheet 1
    • Chi-squared - Independence (Introduction)
    • Worksheet 2
  • 4
    Non-parametric Tests
    • Introduction
    • Single Sample Sign Test (Large Samples)
    • Wilcoxon signed rank test
    • Wilcoxon signed rank test (Worked example)
    • Wilcoxon signed rank test (Large Samples)
    • Paired sample sign test
    • Wilcoxon matched pairs signed rank test
    • Wilcoxon Rank-Sum Test
    • Worksheet 1
    • Worksheet 2
  • 5
    Probability Generating Functions
    • Introduction
    • Calculating Probabilities
    • Expectation and variance
    • Expectation and variance (worked example)
    • Discrete Uniform Distribution
    • Binomial Distribution
    • Poisson Distribution
    • Geometric Distribution
    • Sum of indepedent variables
    • Worksheet 1
    • Worksheet 2

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