Stat447 Exam2 Study Guide: Probability Distributions and Moment Generating Functions, Exams of Statistics

Download Stat447 Exam2 Study Guide: Probability Distributions and Moment Generating Functions and more Exams Statistics in PDF only on Docsity! Stat447 Exam2 Study Guide (Fall 07) Chapter 3: Sections 3.5 – 3.7 Joint Probability distribution/density Marginal Distribution Conditional Distribution Chapter 4 :Sections 4.4 – 4.8 Chebyshev’s Theorm.(4.4) (Law of Large numbers) Moment Generating Function (4.5) Covariance (4.6) V(∑aiXi) (4.7) Conditional Expectation (4.8) Chapter 5 : Sections 5.2 – 5.5, 5.7: Special discrete probability distributions--- Bernoulli, Binomial, Geometric, Negative Binomial, Poisson - Know when and how to use them for finding probabilities As well as their mean, variance and MGF. Chapter 6 : Sections 6.2, 6.3, 6.5, 6.6: Special Continuous variables/Probability densities and their mean etc--- Uniform, Gamma, Exponential, Chi-Square, Normal - Know how to use Normal probability tables Normal approximation to find Binomial probabilities for large n. Chapter 7 : Sections 7.2 – 7.5 Distribution Function Technique. Transformation Technique for One variable. Transformation Technique for Two variables. Moment Generating Function Technique. General: Go over homework, class exercises and handout problems.