Math 151. Probability Fall 2013

Tentative Schedule of Lectures and Examinations

Date Topic

W Sep. 4 Introduction: A problem from statistical inference

F Sep. 6 Sample Spaces

M Sep. 9 σ-fields

W Sep. 11 Probability function

F Sep. 13 Probability function (continued)

M Sep. 16 Independent events

W Sep. 18 Conditional probability

F Sep. 20 Continuous and discrete random variables

M Sep. 23 Cumulative distribution function (cdf)

W Sep. 25 Probability density function (pdf)

F Sep. 27 Probability mass function (pmf)

M Sep. 30 Review

W Oct. 2 Review

F Oct. 4 Exam 1

M Oct. 7 Continuous random variable and probability density function (pdf)

W Oct. 9 Expectation of a random variable

F Oct. 11 Expectation of a function of a random variable

M Oct. 14 Expectation of a function of a random variable (continued)

W Oct. 16 Examples of random variables

F Oct. 18 Moments, variance and moment generation function

M Oct. 21 Fall Recess (No Class)

W Oct. 23 Joint distribution functions

F Oct. 25 Joint distribution functions (continued)

M Oct. 28 Marginal distributions

W Oct. 30 Marginal distributions (continued)

F Nov. 1 Problems

M Nov. 4 Review

W Nov. 6 Exam 2

F Nov. 8 Independent random variables

Date Topic

M Nov. 11 mgf convergence theorem

W Nov. 13 The Central Limit Theorem

F Nov. 15 Simple random samples

M Nov. 18 Mean and variance of random samples

W Nov. 20 Sampling distribution

F Nov. 22 Conditional distribution

M Nov. 25 Conditional expectation

W Nov. 27 Problems

F Nov. 29 Thanksgiving Recess

M Dec. 2 Covariance and correlation

W Dec. 4 Review

F Dec. 6 Exam 3

M Dec. 9 Review

W Dec. 11 Review

Th Dec 19 Final Examination