HL AI – Probability

Venn diagrams

Probability 2

Normal distributions

Errors

Probability 1

Discrete Probability

Poisson Distribution

Review

Tree diagrams

Binomials

Confidence Levels

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) 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.
Poisson distributions, mean, variance, and sums of poisson distributions.
Confidence intervals for normal distributions with and without a known standard deviation.
Test for critical values and regions with normal distributions.
Calculating Type I and Type II errors, includes link with Statistics module.