Math 251, Set Theory and Probability; Friday, 1 November 2002

R. W. DeGray, Ph.D.; Saint Joseph College

Topics

Starting Points/Questions/Assignments

Readings/References
  1. Collecting Data
  2. Set Theory and Probability
    1. Theorems:
      1. Complementary events
      2. P(ø) = 0
      3. P(A U B)
      4. P(A U B U C)
      5. P(UAi) = ·P(Ai) if Ai INTERSECT Aj = ø, i ­ j
      6. If A is a subset of B then P(A) <= P(B)
      7. P(A) <=1 for all A
  3. Methods of Enumeration
    1. The Multiplication Principle
    2. Permutations
    3. Combinations
  1. Read 'Probability', pp 66 - 73.
    1. Exercises: p 73; 2.1-1, 2.1-3, 2.1-7. 2.1-10, 2.1-11, 2.1-15.
  2. Read 'Methods of Enumertion', pp 75 - 82.
    1. Exercises: p 82; 2.2-1, 2.2-3, 2.2-5, 2.2-12, 2.2-14.
  3. Read Conditional Probability, pp 86 - 92.
  4. E-mail: rdegray@sjc.edu
 

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MINITAB Statistical Package

Text: Probability and Statistical Inference, Hogg and Tanis