MATH 380 Checklist for Test 2, November 21, 2003 The test covers chapters 5 (5.1-5.7), 6 (6.1-6.5) and 7 (7.1-7.3). However, basic issues related to prior chapters may and shall necessarily appear. 1. Continuous random variables, their cumulative distribution functions, density functions. 2. Calculating probabilities involving random variables from the "functions" listed in 1. 3. Expectations, variances; calculating expectations of random variables from mass/density functions. Expectations of functions of random variables. 4. Standard continuous random variables, particularly uniform, exponential, normal. Should know the formulae for mass/density/c.d. functions (whichever applicable), and for expectations in terms of the parameters. Should know how to figure out normal probabilities using tables or calculators. Last but not least, you should be able to identify the distribution which fits best a given "real-life" situation. 5. Binomial probabilities via normal approximations. 6. What does it mean for two random variables to be independent? 7. Joint mass/density functions, marginal mass/density functions, independence in this context. Calculating the same as in 2 and 3 in this context, the role of independence. Conditional mass functions. 8. Properties of expectation (linearity and such, the role of independence in this context). Covariance and correlation. You are allowed a one page (one-sided) ³formula sheet². Tables of normal probabilities will be provided.