Math 347/447 & ACSC 347        Probability & Statistics I        Spring 2009

Class Schedule (Subject to Change)
Date Sections Topics
January 26 2.1 - 2.6 Introduction; sets; probability models; counting theorems; permutations and combinations.
February 2 2.6 - 2.8 Conditional probability; independence.
February 9 2.9 - 3.2 Laws of probability; the Law of Total Probability and Bayes’ Rule; random variables; discrete probability distributions.
February 16 3.2 - 3.3 Random variables; discrete probability distributions; expectation.
February 23 3.3 - 3.5 Expectation; the binomial distributions;  the geometric and discrete uniform distributions.
March 2 3.6-3.8, 3.11 The negative binomial, hypergeometric, and Poisson distributions; Tchebysheff’s Theorem.
March 2 Test 1 Sections 2.1-3.3
March 9 3.9, 4.1 - 4.2 Moments and moment-generating functions of discrete random variables; continuous distributions; density functions; distribution functions.
March 16 Spring Break  
March 23 4.3 - 4.5 Expectation; the uniform and  normal distributions.
March 30 4.6 - 4.10, 4.12 The  gamma, exponential, and chi-square distributions.
The beta and Weibull distributions; moments and moment generating functions of continuous random variables; Tchebysheff’s Theorem.
April 6 5.1 - 5.3 Bivariate & multivariate distributions; marginal & conditional distributions; independent random variables.
April 13 5.4 - 5.8, 5.11 Expectation of functions of random variables; covariance; variance of linear functions of random variables; conditional expectation.
April 13 Test 2 Sections 3.4-3.9, 4.2-4.6, 4.9
April 20 6.1 - 6.3 Finding the distribution of a function of random variables; the method of distribution functions.
April 27 6.4 - 6.5 The method of transformations; the method of moment-generating functions. When reading Section 6.4, I suggest you omit Examples 6.8 & 6.9.  These are more easily done using other methods.
May 4 5.9 The multinomial distribution.
May 11 Final Exam Sections 2.4-2.10;  3.1-3.9;  4.1-4.9;  5.1-5.8, 5.11;  6.3-6.5.

 
 This page is at http://faculty.roosevelt.edu/currano/m347/schedule.htm.  Revised: May 04, 2009