Probability

Basic probability and random variables

This section contains 7 topics with 0 subtopics, 0 practice problems and 0 flashcards. Each topic includes comprehensive written notes, worked examples with detailed solutions, and interactive lessons for hands-on practice.

Topics Covered

• Basic Probability Rules — Apply addition and multiplication rules, and understand complements and mutually exclusive events.
• Conditional Probability — Calculate conditional probabilities using formulas and two-way tables.
• Independence — Test for independence using probability rules and understand its implications.
• Discrete Random Variables — Define discrete random variables, calculate expected value, variance, and standard deviation.
• Binomial Distribution — Apply the binomial distribution to count successes in fixed trials with conditions BINS.
• Geometric Distribution — Use the geometric distribution to model the number of trials until the first success.
• Continuous Random Variables — Understand continuous random variables, probability density functions, and uniform distributions.

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