Math 251, Conditional Probability; Monday, 11 November 2002

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

Topics

Starting Points/Questions/Assignments

Readings/References
  1. Conditional Probability
    1. Def. P(A|B) = P(A and B)/P(B), if P(B) <>0.
    2. P(.|B) is a probability set function.
  2. Independent events
    1. Def - Pairwise: P(A and B) = P(A)P(B)
    2. Three events, A, B ,C are Mutually Indepent if
      1. P(A and B) = P(A)P(B)
      2. P(A and C) = P(A)P(C)
      3. P(A and B and C) = P(A)P(B)P(C)
  1. 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.
  2. Read Conditional Probability, pp 86 - 92.
    1. Exercises: p 92; 2.3-1, 2.3-5
  3. Read Indepent Events: pp 96 - 100.
    1. Exercises: p 10 1; 2.4-1, 2.4-3, 2.4-5, 2.4-11
  4. Read Bayes' Theorem, pp 103 - 105.
    1. Exercises: p 106; 2.5-1
  5. E-mail: rdegray@sjc.edu
 
 


The Reverend Thomas Bayes
Daniel J. Strom
Introduction to Bayesian Statistics
Pacific Northwest National Laboratory

Probability, Herb McGrath, Statistical Education Resource Kit; Penn State, Department of Statistics

Statistics Glossary v1.1
Valerie J. Easton & John H. McColl

MINITAB Statistical Package

An Introduction to Probability Theory and Its Applications, Feller, John Wiley & Sons,Volume I, II

Text: Probability and Statistical Inference, Hogg and Tanis