Random Variables
Continuous random variables, probability density and cumulative distribution functions, percentiles, and normal-distribution probabilities and quantiles.
Active lessons
4
Status
Active
Lesson flow
Learn -> Guided Practice -> Independent Practice -> Mastery Quiz
Unit pathway
Lesson pathway
4 of 4 active
Lesson 1
Normal Distribution and Empirical Rule
Use normal distribution features, z-scores, and the empirical rule to estimate proportions and intervals.
Lesson 2
Continuous Random Variables and Probability Density Functions
Estimate continuous probabilities from relative frequency, validate density functions, and calculate probabilities by integration.
Lesson 3
Cumulative Distribution Functions and Percentiles
Construct and analyse cumulative distribution functions, then use inverse-CDF reasoning to find medians and percentiles.
Lesson 4
Standard Normal Probabilities and Quantiles
Standardise normal variables, use tables or technology for probabilities, and reverse the process to calculate quantiles.