HL AA – Probability

Venn diagrams

Conditional Probability

Normal dsitributions

Probability

Discrete Probabilities

Continuous

Review

Tree diagrams

Binomial Distributions

Bayes Theorem

Traffic Light Coding for Unit

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Learning Outcomes
Understand set notation for number, union, intersection, contained in, element, inverse, null and universal.
Be able to draw and shade Venn diagrams with the use of set notation.
Solve problems by use of sets and Venn diagrams.
Understand the the terms mutually exclusive and independent.
Find simple probabilities involving one or two events, using the terms AND and OR.
Draw tree diagrams to represent probabilities.
Use the independence formulae to solve problems of independent probability.
Find conditional, or ‘given that’ probabilities.
Use Venn diagrams to solve probability problems.
Draw and interpret tree diagrams, using them for conditional and independent events.
Discrete random variables and their probability distributions.
Expected value (mean) and variance for discrete standard variables.
Binomial distributions, including mean and variance of these distributions.
Normal distribution diagrammatic representation and using this for non-GDC calculations.
Using a GDC to find probabilities based on knowing the mean and standard deviation.
Finding z-values with normal distributions, and using for inverse calculations.
Continuous random variables and their density functions.
Mean, mode, median of continuous random variables.
Variance of continuous random variables.
Effect of linear transformations on continuous random variables.
Using and applying Bayes Theorem.