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30-Day Money-Back Guarantee

This course includes:

  • 5 hours on-demand video
  • 12 articles
  • 81 downloadable resources
  • Full lifetime access
  • Access on mobile and TV
Teaching & Academics Math Statistics

Master the Fundamentals of Probability and Statistics

Master the Fundamentals of Probability and Statistics
Rating: 4.4 out of 54.4 (6 ratings)
40 students
Created by Dr Ling Meng Kay Daniel, PhD
Last updated 12/2019
English
English [Auto]
30-Day Money-Back Guarantee

What you'll learn

  • Permutations and Combinations
  • Conditional Probability
  • Bayes' Theorem
  • Discrete Random Variables
  • Continuous Random Variables
  • Binomial Distribution
  • Geometric Distribution
  • Negative Binomial Distribution
  • Poisson Distribution
  • Normal Distribution
  • Sampling
  • Confidence Intervals
  • Hypothesis Testing
  • Correlations and Regression

Requirements

  • Basic probability concepts learnt at middle school/secondary school level

Description

Dear students,

Welcome to this course "Master the Fundamentals of Probability and Statistics"!

This course is designed specially for students who are: doing college-level probability and statistics, taking their IGCSE/GCE A level, the IB HL Math examinations or simply anyone who is interested to learn the basics of probability and statistics.

At the end of the course, and depending on which exams you are taking, you will learn most/all of the following:

  • Permutations and Combinations

  • Classical Probability and Conditional Probability

  • Discrete Random Variables

  • Binomial Distribution, Poisson Distribution, Geometric Distribution and Negative Binomial Distribution

  • Continuous Random Variables

  • Cumulative Density Functions

  • Normal Distributions

  • Sampling, Central Limit Theorem and Estimation Theories

  • Hypothesis Testing

  • Confidence Intervals

  • Correlations and Regression

Along the way, there will be quizzes and practice questions for you to get familiarize with the concepts. There may also have bonus lectures which will further enhance your understanding of the topics. If you encounter any problems, please do not hesitate to contact me for more clarifications.

I hope that you will find this course useful in your academic and professional pursuit. Enjoy the course! Cheers! ;-)

Dr Ling, PhD

Who this course is for:

  • GCE/IGCSE 'A' Levels students
  • IB Diploma students
  • Undergraduate students who need a revision of probability and statistics
  • Working professionals who need a revision of probability and statistics for their work

Course content

9 sections • 47 lectures • 5h 0m total length

  • Preview04:29
  • Permutations in a Row (for H1/H2 Math, IB, IGCSE)
    16:05
  • Circle Permutations (for H2 Math, IB, IGCSE)
    06:01
  • Combinations (for H1/H2 Math, IB HL, IGCSE)
    05:41
  • Permutations AND Combinations (for H1/H2 Math, IB HL, IGCSE)
    02:08
  • PnC Practice Problems
    05:14

  • Preview08:50
  • Mutually Exclusive Events and Independent Events (for H1/H2 Math, IB HL, IGCSE)
    09:42
  • Conditional Probability and Bayes' Theorem (for H1/H2 Math, IB HL, IGCSE)
    19:54
  • Probability involving Permutations and Combinations (for H1/H2 Math, IB HL, IGC
    09:37
  • Probability Practice Problems
    08:27

  • Introduction to Discrete Random Variables (for H2 Math, IB HL, IGCSE)
    11:05
  • Binomial Distribution (for H1/H2 Math, IB HL, IGCSE)
    20:31
  • Geometric Distribution (IB HL, IGCSE)
    08:11
  • Negative Binomial Distribution (IB HL, IGCSE)
    10:09
  • Poisson Distribution (IB HL, IGCSE)
    06:44
  • Discrete Random Variables Practice Problems
    18:26

  • Introduction to Continuous Random Variables (for H1/H2 Math, IB HL, IGCSE)
    11:00
  • Normal Distribution and the z-score (for H1/H2 Math, IB HL, IGCSE)
    14:18
  • The Inverse Normal (for H1/H2 Math, IB HL, IGCSE)
    11:03
  • Normal Distribution involving Z~N(0,1) (for H1/H2 Math, IB HL, IGCSE)
    07:28
  • Linear Combinations of Normal Random Variables (for H1/H2 Math, IB HL, IGCSE)
    07:56
  • Normal Distribution Practice Problems
    00:09
  • Cumulative Distribution Functions (IB HL, IGCSE)
    06:29
  • Cumulative Distribution Functions Practice Problems
    00:07

  • Probability and Statistics Quiz 1
    5 questions

  • Approximation (Binomial to Poisson distribution) (IGCSE)
    00:18
  • Approximation (Binomial to Normal distribution) (IGCSE)
    08:21
  • Approximation (Poisson to Normal distribution) (IGCSE)
    00:04
  • Probability Approximation Practice Problems
    00:05
  • Sampling (Distribution of Sample Mean and Central Limit Theorem) (for H1/H2 Math
    07:25
  • Unbiased Estimators (for H1/H2 Math, IB HL, IGCSE)
    07:05
  • Confidence Intervals (IB HL, IGCSE)
    07:25
  • Sampling and Unbiased Estimation Practice Problems
    00:09

  • Introduction to Hypothesis Testing (for H1/H2 Math, IB HL, IGCSE)
    05:35
  • Hypothesis Testing for a mean with known variance (for H1/H2 Math, IB HL, IGCSE)
    05:29
  • Hypothesis Testing for a mean with unknown variance (H1/H2 Math, IB HL, IGCSE)
    03:54
  • Hypothesis Testing for paired samples with small sample size (for IB and IGCSE)
    00:11
  • Type I and Type II errors (IB HL, IGCSE)
    04:43
  • Hypothesis Testing Practice Problems
    00:12
  • Chi-Square Test for Independence
    06:42

  • Introduction to Correlations and Regression (for H1/H2 Math, IB HL, IGCSE)
    03:19
  • Linear Regression Lines (for H1/H2 Math, IB HL, IGCSE)
    04:13
  • Correlation Coefficient and Covariance (for H1/H2 Math, IB HL, IGCSE)
    04:43
  • Linearization of Non-Bivariate Data (for H1/H2 Math, IB HL, IGCSE)
    00:08
  • Hypothesis Testing for Significant Correlation (IB HL)
    00:08
  • Correlations and Regression Example and Practice Problem
    00:10

  • Probability and Statistics Quiz 2
    5 questions
  • Solutions for Quiz 1 and 2
    00:01

Instructor

Dr Ling Meng Kay Daniel, PhD
Associate Lecturer and Academic Coach
Dr Ling Meng Kay Daniel, PhD
  • 4.5 Instructor Rating
  • 27 Reviews
  • 954 Students
  • 6 Courses

Hi everyone! I am Dr Daniel Ling and I am a lecturer in Singapore with more than 16 years of experience teaching and tutoring Math and Physics. I have taught students from various top schools in Singapore such as the Raffles Girls’ School, Dunman High School, Catholic High School (CHS), Nanyang Girls’ High School, Nanhua High School, ACS(Independent), SJI, School of the Arts, Xinmin Sec School, Holy Innocents’ High School, Raffles Institution (formerly Raffles JC), National JC, St Andrew JC, Serangoon JC, Nanyang JC, Jurong JC, Tampines JC etc.

Currently, I am an associate lecturer at a private school where I teach Physics and Mathematics to both local and international students under the school’s GCE O/A Levels preparatory courses.

I possesses a bachelor degree in Electrical Engineering (2nd Upper Hons) from NUS, a Post-Graduate Diploma in Education (Credit) from NIE, a MBA from Australian Institute of Business and a Master of Education (M.Ed) from Aspen University, United States, specializing in curriculum development and outcome assessment. I also hold a PhD in Education from Asia e University.

I am passionate about mathematics and physics and I hope to share my passion with all my students!

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