Exam-Ready Series: Probability and Statistics 2 Course

A course designed to help you understand 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
    Poisson Distribution
    • Introduction
    • Interval Changes
    • Normal Approximation to the Poisson Distribution
    • Worked Example 1
    • Poisson Approximation to the Binomial Distribution
    • Worked Example 2
    • Worksheet 1
    • Worksheet 2
  • 2
    Linear Combinations of Random Variables
    • Introduction
    • Worked Example 1
    • Worked Example 2
    • Sum of repeated observations
    • Linear Combinations of Poisson Variables
    • Worked Example 3
    • Linear Combinations of Normal variables
    • Worked Example 4
    • Normal Repeated Observations
    • Worked Example 5
    • Worksheet 1
    • Worksheet 2
  • 3
    Continuous Random Variables
    • Introduction
    • Finding Expectation
    • Worked Example 1
    • Worked Example 2
    • Worked Example 3
    • Worked Example 4
    • Finding Variance
    • Worked Example 5
    • Finding the Median
    • Worked Example 6
    • Worked Example 8
    • Worked Example 7
    • Worksheet 1
    • Worksheet 2
  • 4
    Sampling and Estimation
    • Sampling - Introduction
    • Worked Examples 1
    • Unbiased Estimates
    • Worked Examples 2
    • Distribution of Means
    • The Central Limit Theorem
    • Worked Examples 3
    • Confidence Intervals
    • Worked Examples 4
    • Worked Examples 5
    • Worked Examples 6
    • Worked Examples 7
    • Width of an Interval
    • Confidence Interval for Population Proportion
    • Worked Examples 8
    • Worksheet 1
    • Worksheet 2
    • Worksheet 3
  • 5
    Hypothesis Testing
    • Introduction to Hypothesis Testing
    • Hypothesis Tests with the Binomial Distribution
    • Worked Example 1
    • Worked Example 2
    • Hypothesis Tests with the Poisson Distribution
    • Hypothesis Tests Involving the Normal Approximation to the Binomial Distribution
    • Worked Example 3
    • Hypothesis Tests Involving the Normal Approximation to the Poisson Distribution
    • Type I & Type II Errors – Introduction
    • Calculating the Type I Error
    • Worked Example 4
    • Calculating the Type II error
    • Testing for the mean of a population (z-Tests)
    • z-Tests – Type I and Type II errors
    • Two Tailed Tests (z-Tests)
    • Worksheet 1
    • Worksheet 2
    • Worksheet 3

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