Prob & Stats – IE 230
1
Chapter 2: Probability
9 Topics
2.1. Sample Spaces and Events
2.2. Counting Techniques
2.3. Interpretations and Axioms of Probability
2.4. Unions of Events and Addition Rules
2.5. Conditional Probability
2.6. Intersections of Events and Multiplication and Total Probability Rules
2.7. Independence
2.8. Bayes’ Theorem
2.9. Random variables
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Chapter 3: Discrete Random Variables and Probability Distributions
8 Topics
3.1. Random Variables, Probability Distributions and Probability Mass Functions
3.2. Cumulative Distribution Functions
3.3. Mean and Variance of a Discrete Random Variable
3.4. Discrete Uniform Distribution
3.5. Binomial Distribution
3.6. Geometric and Negative Binomial Distributions
3.7. Hypergeometric Distribution
3.8. Poisson Distribution
3
Chapter 4: Continuous Random Variables and Probability Distributions
11 Topics
4.1. Probability Distributions and Probability Density Functions
4.2. Cumulative Distribution Functions
4.3. Mean and Variance of a Continuous Random Variable
4.4. Continuous Uniform Distribution
4.5. Normal Distribution
4.6. Normal Approximation to the Binomial and Poisson Distributions
4.7. Exponential Distribution
4.8. Erlang and Gamma Distributions
4.9. Weibull Distribution
4.10. Lognormal Distribution
4.11. Beta Distribution
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2.1. Sample Spaces and Events
Prob & Stats – IE 230
Chapter 2: Probability
2.1. Sample Spaces and Events
Chapter Progress
2.1. Sample Spaces and Events
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Summary
Problem 2.1.1
Problem 2.1.3
Problem 2.1.6
Problem 2.1.13
Problem 2.1.15
Problem 2.1.20
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