Cie International A-Level Maths: Probability & Statistics 2

Master the content from Paper 6 (Probability & Statistics 2) of Cambridge International A-Level Maths

What you'll learn

The Poisson Distribution

Linear Combinations of Random Variables

Continuous Random Variables

Sampling and Estimation

Hypothesis Testing

Confidence Intervals

Requirements

A sound understanding of the content covered in my Probability & Statistics 1 course, or equivalent.

Basic calculus for one of the chapters.

Description

CIE International A-Level Maths is a course for anyone studying the Cambridge International A-Level Maths:This course covers all the content in Paper 6 (Probability & Statistics 2) of the Cambridge International A-Level Maths Course. It is also a great introduction to probability and statistics for anyone interested in getting started. This course is intended for purchase by adults. The main sections of the course are:- Hypothesis Tests - we learn how to perform a statistical hypothesis test to see when evidence is strong enough for us to change our minds.- The Poisson Distribution - we learn what the Poisson distribution is, how to calculate probabilities with it, and make connections with the binomial and normal distributions.- Linear Combinations of Random Variables -  we learn how to combine random variables, looking at sums, differences and other combinations, and connect with other distributions.- Continuous Random Variables - we learn how to work with any continuous random variable, work out probabilities, medians, expectations and variance.- Sampling - we learn about random sampling, the distribution of sample means and the central limit theorem.- Estimation - we learn about unbiased estimates of population mean and variance, and see how to carry out hypothesis tests for population means, as well as confidence intervals for means and proportions.Please note: This course is intended for people studying the Cambridge International A-Level Maths Syllabus, and not the UK syllabus (covered by Edexcel, OCR, AQA and MEI exam boards). If you are looking for these, check out my other courses on these!What you get in this course:Videos: Watch as I explain each topic, introducing all the key ideas, and then go through a range of different examples, covering all the important ideas in each. In these videos I also point out the most common misconceptions and errors so that you can avoid them.Quizzes: Each sub-section is followed by a short quiz for you to test your understanding of the content just covered. Most of the questions in the quizzes are taken from real A-Level past papers. Feel free to ask for help if you get stuck on these!Worksheets: At the end of each chapter I have made a collection of different questions taken from real A-Level past papers for you to put it all together and try for yourself. At the bottom of each worksheet is a full mark-scheme so you can see how you have done.This course comes with:· A printable Udemy certificate of completion.· Support in the Q&A section - ask me if you get stuck!I really hope you enjoy this course!Woody

Overview

Section 1: Introduction

Lecture 1 Introduction

Section 2: Hypothesis Testing

Lecture 2 Hypothesis Tests - Introduction

Lecture 3 One-Tailed Tests - Binomial Distribution

Lecture 4 Two-Tailed Tests - Binomial Distribution

Lecture 5 Critical Regions - Binomial Distribution

Lecture 6 Actual Significance Levels

Lecture 7 Type I and Type II Errors

Section 3: The Poisson Distribution

Lecture 8 The Poisson Distribution - Introduction

Lecture 9 Conditions for the Poisson Distribution

Lecture 10 The Poisson Distribution - Calculator Use

Lecture 11 The Cumulative Poisson Function

Lecture 12 Different Intervals

Lecture 13 Poisson Approximations to Binomial Distributions

Lecture 14 Normal Approximations to Poisson Distributions

Lecture 15 Hypothesis Tests With Poisson Distributions - Part 1

Lecture 16 Hypothesis Tests With Poisson Distributions - Part 2

Section 4: Linear Combinations of Random Variables

Lecture 17 Expectation and Variance

Lecture 18 Sums and Differences

Lecture 19 Combinations of Normal Distributions

Lecture 20 Combinations of Poisson Distributions

Section 5: Continuous Random Variables

Lecture 21 Continuous Random Variables -Introduction - Part 1

Lecture 22 Continuous Random Variables - Introduction - Part 2

Lecture 23 Medians and Percentiles - Part 1

Lecture 24 Medians and Percentiles - Part 2

Lecture 25 Expectation of a Continuous Random Variable

Lecture 26 Variance of a Continuous Random Variable

Lecture 27 Continuous Random Variables - Exam Problems

Section 6: Sampling

Lecture 28 Random Sampling

Lecture 29 The Distribution of Sample Means

Lecture 30 The Central Limit Theorem - Part 1

Lecture 31 The Central Limit Theorem - Part 2

Section 7: Estimation

Lecture 32 Unbiased Estimates of Population Mean and Variance

Lecture 33 Hypothesis Tests for Population Mean - Known Variance

Lecture 34 Hypothesis Tests for Population Mean - Unknown Variance

Lecture 35 Confidence Intervals - Known Variance

Lecture 36 Confidence Intervals - Unknown Variance

Lecture 37 Confidence Intervals - Proportions - Part 1

Lecture 38 Confidence Intervals - Proportions - Part 2

People studying the Cambridge International A-Level Mathematics,People who want to study an intermediate course in probability and statistics