This course is the first half of a year-long course which provides an introduction to probability and mathematical statistics for students in mathematics and statistics. The use of probability theory is illustrated with examples drawn from engineering, the sciences, and management. Topics include elementary probability theory, conditional probability and independence, random variables, distribution functions, joint and conditional distributions, laws of large numbers, and the central limit theorem. Not open to students who have received credit for 36-217 or 36-325. Prerequisite: 21-122 or 21-256
36-226
Introduction to Probability and Statistics II
Spring: 9 units
This course is the second half of a year-long course in probability and mathematical statistics. Topics include maximum likelihood estimation, confidence intervales, and hypothesis testing. If time permits there will also be a discussion of linear regression and the analysis of variance. Not open to students who have received credit for 36-326. Prerequisite: 36-225.