Unit 2
Probability, Random Variables, and Probability Distributions
Probability, random variables, and the two models the rest of the course leans on: the binomial and the normal. It ends with the central limit theorem.
Topics
- 2.1Tabular and Graphical Representations for the Distributions of Two Categorical Variables
- 2.2Summary Statistics for Two Categorical Variables
- 2.3Estimating Probabilities Using Simulation
- 2.4Introduction to Probability
- 2.5Mutually Exclusive Events
- 2.6Conditional Probability
- 2.7Independent Events and Unions of Events
- 2.8Introduction to Random Variables and Probability Distributions
- 2.9Parameters of Random Variables
- 2.10The Binomial Distribution
- 2.11The Normal Distribution
- 2.12Sampling Distributions and the Central Limit Theorem
Labs for this unit
- Topic 2.11 Normal Curve Explorer Move the mean and standard deviation, drag the cutoffs, and guess the shaded area before it is revealed.
- Topics 2.12 to 4.1 Sampling Distribution Machine Draw thousands of samples from a skewed population and watch the distribution of sample means turn normal.
- Topics 2.3 to 2.4 Probability Simulator Flip coins and roll dice by the thousand. Watch the relative frequency settle down toward the true probability.
- Topics 2.8 to 2.10 Binomial Explorer Change n and p and watch the binomial distribution reshape. Shade exactly k, at most k or at least k.