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A study guide for exam 2 of stat447, focusing on probability distributions, joint probability distributions, marginal distributions, conditional distributions, chebyshev's theorem, moment generating functions, covariance, and various discrete and continuous probability distributions such as bernoulli, binomial, geometric, negative binomial, poisson, uniform, gamma, exponential, chi-square, and normal. It also includes instructions to use normal probability tables and normal approximation for large n in binomial probabilities.
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Stat447 Exam2 Study Guide (Fall 07) Chapter 3: Sections 3.5 – 3. Joint Probability distribution/density Marginal Distribution Conditional Distribution Chapter 4 :Sections 4.4 – 4. 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. 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.