Non Random Sampling methods
In this video, we’ll learn about non-random sampling techniques including: Quota sampling Opportunity sampling
Random Sampling Methods
In this video, we’ll learn about random sampling techniques including: Simple random sampling Systematic sampling Stratified sampling
Understanding Population, census and sample
In this video, we will go through Population, Census, and Sample and look at the advantages and disadvantages of Census VS Sample
Probability Tree Diagrams for Dependent Events
Tree Diagrams
Binomial probabilities on a calculator
Probability Tree Diagrams for Independent Events
Expected values E(X²)
Notation and defining regions
3 set problems
Probability in Venn diagrams
Histograms – How to find the width and height of a class interval
Exam Questions – Histograms, Finding the length and width of a rectangle
Exam Questions – Estimating the median from a histogram
Exam Questions – Continuous data / standard deviation
Probability using permutations and combinations
In this video, I show you how to use permutations and combinations to work out probabilities. A committee of 5 people is to be selected from a group of 5 men and 6 women. What is the probability that the committee contains 2 men and 3 women? Each of 5 cards has one of the […]
Combining combinations
Combinations of n different items
Permutations with restrictions : items must not be together
Permutations with restrictions : items at the ends
Permutations with restrictions: letters / items together
Permutations of repeated letters in a word
Permutations of r items from n different items
Permutations of n different items
Exam Questions – Venn diagrams
Exam Questions – Stem and leaf diagrams and box and whisker plots
Types of skewness by comparing the mean with the median or quartiles
In this video you are shown how to calculate the type of skewness by considering the mean in relation to the median or the widths between quartiles.
Exam Questions – Estimating the median from a grouped frequency table
How to interpret class intervals
Exam Questions – Median, lower, upper quartiles and interquartile range for discrete data
Exam Questions – Hypothesis tests: binomial distribution
Exam Questions – Binomial distribution
Exam Questions – Discrete random variables
Exam Questions – Tree diagrams
Exam Questions – Histograms
Exam Questions – Discrete data / standard deviation
Exam Questions – Discrete data / mean
Two tailed test
Critical values – upper tail test
Critical values – lower tail test
Upper tail test
Lower tail test
Test for a binomial proportion
Mean and variance
Cumulative probability tables
Binomial distribution
Linear combinations of discrete random variables
Variance, Var(X)
Expected values E(X)
Cumulative distribution function F(X)
In this tutorial I show you the meaning of this function and how to use it to calculate probabilities and construct a probability distribution table from it.
Probability distribution tables
P(A∪B) and mutually exclusive events
Conditional probability in Venn diagrams
Venn diagrams
Conditional probability in tree diagrams
And Rule (multiplication) / Or Rule (addition for mutually exclusive events)
Probability tree diagrams
In this video, I introduce you to drawing tree diagrams as a way of simplifying calculations when combining probabilities. It is important that you see all three questions as they differ in style. I also introduce you to the notation of conditional probability. 1) A bag contains 5 red sweets and 3 blue sweets. Two […]
Possibility space diagrams
In this video, you are shown how to draw possibility space diagrams to evaluate probabilities for equally likely outcomes.