Compound Probability, Conditional Events, and Risk Analysis

7 lessons

Goal

Solve multi-event probability problems using Venn diagrams, tree diagrams, two-way tables, conditional formulas, and risk metrics.

The Addition Rule for Disjoint and Overlapping Events

7 lessons

0 of 7 done

The Addition Rule for Disjoint and Overlapping EventsUp next
Using Three-Set Venn Diagrams to Solve Probability ProblemsPremiumNot started yet
Using Two-Way Tables to Compute Conditional ProbabilitiesNot started yet
The Formal Conditional Probability Formula and Testing IndependenceNot started yet
Using Tree Diagrams with the General Multiplication RuleNot started yet
The Law of Total Probability and Introductory Reverse InferencesNot started yet
Statistical Risk Analysis: Absolute Risk, Relative Risk, and Odds RatiosNot started yet

Standards Covered

Curriculum Framework

8 lessons

Construct and interpret visual representations of quantitative data including histograms, dot plots, box plots, and cumulative frequency curves.

7 lessons

Calculate and interpret central tendency and spread parameters for populations and samples, analyzing the effects of linear data transformations.

7 lessons

Apply the fundamental counting principle, permutations, combinations, and sample space models to compute exact probabilities.

7 lessons

Solve multi-event probability problems using Venn diagrams, tree diagrams, two-way tables, conditional formulas, and risk metrics.

9 lessons

Define discrete probability mass functions, compute expected values and variances, and model Bernoulli/Binomial processes.

8 lessons

Analyze the normal distribution curve, compute z-scores, and calculate probabilities and percentiles using the standard normal model.

7 lessons

Analyze bivariate relationships, fit least-squares regression lines, interpret correlation coefficients, and examine residuals.

7 lessons

Critique statistical claims in media, differentiate correlation from causation, and evaluate sampling designs and inferential validity.