### Exam-Ready Series: Probability and Statistics 2 Course

• #### 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.

### 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