MCS 341 Exam 1
• When: Monday, September 27, 10:30-11:20
• What: An examination consisting of problems related to Chapter 1, What Is Statistics?, Chapter 2, Probability, and class notes, especially the probability model and How to Count
• Where: Our classroom, Olin 219
• How: Closed-book, but with one 3"-by-5" note card allowed

TOPICS
• Statistics
  • Histograms
  • Numerical summaries
• Probability
  • Kolmogorov's probability model
    • Sample space
    • Events
    • Probabilities
  • Principles of counting
    • The 1-1 correspondence principle
    • The addition principle: counting by cases
    • The multiplication principle: counting by stages
    • Exponential formulas: counting functions, subsets
    • Counting and probability: P(A) = |A|/|S|; |A| = P(A)|S|.
    • Counting linearly ordered arrangements
    • Counting unordered selections
    • Counting distributions, partitions
  • Probability calculations
    • P(A) = the sum of the probabilities of the elementary outcomes in A.
    • P(A) = |A|/|S| if all elementary outcomes are equally likely.
    • Conditional probabilities, dependent and independent events
    • Probabilities of complements, unions, and intersections
    • Law of total probability and Bayes's rule