Probability and Statistics 2
The Ultimate Course for Success in A Level Mathematics (9709)
This course is a comprehensive A Level Statistics 2 course which covers all the chapters for CAIE A Level Mathematics (9709). This course is broken down into different chapters, according to the most current syllabus. Under each chapter, there will be videos to explain all the key concepts with worked examples. There will also be ample past-exam paper worksheets in this course to ensure that you get sufficient practice. Enroll now and master A Level statistics for that amazing pass!
Key Concepts of Each Topic
High Quality Questions to Ensure Sufficient Practice
Worked Solutions to Selected Challenging Questions
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
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
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
Sampling - Introduction
Sampling - Worked Examples
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
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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