Public learning track
Discrete Random Variables and Probability Distributions
12th Grade · Math · Open Global Math
7 lessons
Goal
Construct discrete probability distributions, calculate expected values and variance, and model Bernoulli/Binomial processes.
Featured Diagrams
Discrete vs. Continuous Random Variables
7 lessons
0 of 7 done
- 1Discrete vs. Continuous Random VariablesUp nextStart
- 2Constructing Discrete Probability Mass Functions and HistogramsPremiumNot started yet
- 3What Is Expected Value? The Mean of a Probability DistributionNot started yet
- 4Variance and Standard Deviation of Discrete Random VariablesNot started yet
- 5Linear Transformations and Combinations of Random VariablesNot started yet
- 6Bernoulli Trials and the Binomial Distribution FormulaNot started yet
- 7Solving Contextual Word Problems with the Binomial DistributionNot started yet
Curriculum Framework
12th Grade · Math · Open Global Math
1
6 lessons
Advanced Sample Spaces, Combinatorics, and Geometric Probability
Model complex random phenomena using set operations, advanced combinatorial counting, and geometric area representations.
2
6 lessons
Compound Probability Rules, Conditional Reasoning, and Independence
Apply the addition and general multiplication rules, evaluate formal independence, and solve multi-stage conditional problems.
3
7 lessons
Discrete Random Variables and Probability Distributions
Construct discrete probability distributions, calculate expected values and variance, and model Bernoulli/Binomial processes.
4
6 lessons
Decision Analysis, Expected Value, and Risk Modeling
Use expected value, decision trees, and Bayesian updates to evaluate fair games, insurance policies, medical tests, and business choices.