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Library AP Statistics Unit 4: Probability, Random Variables, and Probability Distributions
⁂   AP Statistics · Unit 4

4. Probability, Random Variables, and Probability Distributions

10–20% of the AP exam. Key topics: Basic probability rules: complement, addition, multiplication, Conditional probability: P(A|B) = P(A ∩ B) / P(B), Independence of events, Two-way tables and Venn diagrams for probability calculations, Tree diagrams for multi-stage probability, Discrete random variables: probability distributions, expected value E(X), variance Var(X), Linear transformations of random variables, Combining independent random variables: means add, variances add (not standard deviations), Binomial distribution: BINS conditions, mean, standard deviation, probability calculations, Geometric distribution: mean and probability calculations, Normal distribution: z-scores and probability calculations using tables or calculator.

10–20% exam weight standard track

Unit 4: Probability, Random Variables, and Probability Distributions

Study guide content for this unit is being prepared. Check back soon for complete lesson notes, formula sheets, and worked examples.

Topics in this unit

  • Basic probability rules: complement, addition, multiplication
  • Conditional probability: P(A|B) = P(A ∩ B) / P(B)
  • Independence of events
  • Two-way tables and Venn diagrams for probability calculations
  • Tree diagrams for multi-stage probability
  • Discrete random variables: probability distributions, expected value E(X), variance Var(X)
  • Linear transformations of random variables
  • Combining independent random variables: means add, variances add (not standard deviations)
  • Binomial distribution: BINS conditions, mean, standard deviation, probability calculations
  • Geometric distribution: mean and probability calculations
  • Normal distribution: z-scores and probability calculations using tables or calculator