## ST 420 Probability Theory

Instructor:
Richard Davis , Dept of Statistics
201 Statistics Building, 1-7321
rdavis@stat.colostate.edu

REVIEW SESSION: Mon 2-3:30 206E Eng and Tue:2-3:30 008 Stat Bldg

Prerequisite: M 255 and M 261.

Required Text: Mathamtical Statistics and its Applications, 2rd Edition by Richard J. Larsen and Morris L. Marx

Course Objectives:

• To introduce the fundamental concepts of probability including axioms of probability, random variables and special distributions.
• To provide the necessary probability background required for a course in mathematical statistics (ST 430).
Time:
MWF: 11-11:50, B108 Engineering

Office hours: TBA

Topics to be Covered in Course:
Chapter I: Introduction
Chapter II: Probability
Chapter III: Random Variables
Chapter IV: Special Distributions
Additional topics in probability will be covered if time permits.

Course Assignments:
HW 1 (Due 9-6): 2.2.2, 2.2.6, 2.2.12, 2.2.14, 2.2.20(draw a Venn diagram), 2.3.2, 2.3.4, 2.3.6, 2.4.2, 2.4.4
HW 2 (Due 9-13): 2.4.6, 2.4.8, 2.5.2, 2.5.4, 2.5.6, 2.6.4, 2.6.6, 2.6.10
HW 3 (Due 9-20): 2.6.12, 2.6.14, 2.6.18, 2.6.20, 2.6.26, 2.6.32, 2.7.3, 2.7.6, 2.7.10, 2.7.14
HW 4 (Due 9-27): 2.8(2,4,8), 2.9(2,6,12,14), 2.10(4,8)
HW 5 (Due 10-11): 2.11(2,4,6,12,14,16), 3.2(2,4,6,8)
HW 6 (Due 10-18): 3.2(14,16,18,21,22,23), 3.3(2,4,6,7,10,14,16,22)
HW 7 (Due 10-25): 3.4(2,3,4), 3.5(2,4,8,10,11,12)
HW 8 (Due 11-1): 3.5(16,17,21,22,23), 3.6(1,2)
HW 9 (Due 11-15): 3.6(3,4), 3.7(3,4,5,7,8,12), 3.8(3,6,7)
HW 10 (Due 11-22): 3.8(12,14), 3.9(2,3,5,6,7,9,10,12,13,16),
HW 11 (Due 12-6): 3.10(8,9,10,12), 3.11(2,3,4), 3.12(1,2,3,5,8), 3.13(2,3)
HW 12 (Due 12-13): 4.2(2,4,12,13,18,24), 4.3(2,4,9,10,12,20,21)