Coverage audit

166 of 166 exercises in range are filed under a question type — no gaps. Every exercise number in every section’s range is a cell; a dashed cell is a gap — an exercise in range that no question type claims yet.

§2.1Sample Spaces and Eventsexercises 1–10 · 10 filed

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§2.2Axioms, Interpretations, and Properties of Probabilityexercises 11–28 · 18 filed

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§2.4Conditional Probabilityexercises 45–69 · 25 filed

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§2.5Independenceexercises 70–89 · 20 filed

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§3.1Random Variablesexercises 1–10 · 10 filed

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§3.2Probability Distributions for Discrete Random Variablesexercises 11–28 · 18 filed

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§3.3Expected Valuesexercises 29–45 · 17 filed

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§3.4The Binomial Probability Distributionexercises 46–67 · 22 filed

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§3.5Hypergeometric and Negative Binomial Distributionsexercises 68–78 · 11 filed

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§3.6The Poisson Probability Distributionexercises 79–93 · 15 filed

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filed, type shown on hovergapcell colour repeats the type’s identity swatch; the type id is always in the tooltip, never colour alone

Legend

35 question types

Sample-Space Enumeration & Event Listing7 Event Algebra & Set Identities3 Two-Event Addition Rule5 Three-Event Inclusion–Exclusion6 Complement Rule & 'At Least One'6 Joint / Partition Tables (Marginals & Conditionals)6 Equally Likely Outcomes (Classical Probability)4 Conditional Probability from Given Event Probabilities5 Multi-Stage Trees & the Chain Rule8 Law of Total Probability & Bayes' Theorem6 Verifying or Refuting Independence4 System Reliability (Series & Parallel)3 Computations with Mutually Independent Events4 Proofs & Derivations of Rules10 Defining a Random Variable on a Sample Space4 Possible Values & Discrete vs Continuous6 Working with a Given pmf5 cdf ⇄ pmf Conversion3 Deriving a pmf by Enumeration4 Deriving a pmf from Independent Trials5 Mean, Variance and SD from a pmf3 Expected Value of a Function h(X)4 Linear Rescaling: E(aX + b) and V(aX + b)5 Expected Value as a Decision Criterion3 Chebyshev's Inequality & Moment Bounds3 Binomial Computation & Moments7 Identifying the Success Probability5 Binomial with a Capacity Constraint4 Binomial as a Function of p (OC Curves & Error Probabilities)3 Hypergeometric Distribution5 Large-Population Approximation (Hypergeometric → Binomial)3 Negative Binomial & Geometric Distributions4 Poisson Computation4 Poisson Approximation to the Binomial3 Poisson Process (Rate × Interval)6