Review for Midterm 1

• Time and Places of Exam : In class, from 1:15pm to 2:30pm on Sep 30 2004
  
  
• Exam Materials : The exam is closed book. You can prepare a formula sheet: a single 8x11 sheet on which you can write whatever you like. Standard normal CDF and a formula sheet (like this) are attached to the exam. You should bring a calculator.
  
  
• Exam Coverage : Here is a outline of main concepts which you should understand.
  Chap 2: Probability
  • Sample space, simple events, compound events (union, intersection, and complement), and Venn diagrams
  • Probability, conditional probability and probability rules for compound events
  • Independence and mutually exclusive
  • Bayes theorem
  • Counting rules (product rule, permutation, and combination)
  
  Chap 3-4: Random Variables
  • Probability distribution: pmf (discrete) and pdf (continuous)
  • CDF, its use in calculating probabilities and its use in deriving density functions
  • Mean, variance (standard deviation), and expectation of functions of random variables
  • Percentiles for continuous r.v.
  • Discrete r.v. : Bernoulli, binomial, geometric, and Poisson
  • Continuous r.v. : uniform, normal, and exponential

Everyone has their own approaches to study, but here are some (unsolicited) advice:
(1) Go through the outline of concepts above and make sure you understand them all;
(2) Go over the lecture notes, homework assignments, and textbook examples;