## SYLLABUS AND HOMEWORK ASSIGNMENTS

Math 425-4, Fall 1997
Prof. Hochster

Office hours will be Monday, 3 - 4 p.m., Tuesday, 1:10 - 2:10 p.m. and Wednesday 3 - 4 p.m. My office is 3078 East Hall.

Handouts will be available from my Web Page. Go to
http://www.math.lsa.umich.edu/~hochster/
and hit the 425 link. Or you can go directly to
http://www.math.lsa.umich.edu/~hochster/425/hp.html

Text: A First Course in Probability by Sheldon Ross, Fifth Edition.

Hour tests are planned for Wednesday, Sept. 24, Monday, Oct. 20, and Friday, Nov. 14.

The Final Exam will be Wednesday, December 17, from 1:30 p.m. to 3:30 p.m.

ASSIGNMENTS:

HW#1 Ross: pp. 16-19: 6, 8, 14, 19, 21, 22, 28, 29; pp. 54-55: 1, 2, 3, 4.
HW#2 Ross: pp. 55-61: 13, 15, 23, 27, 29, 37, 42, 53, 54, 56; p. 104: 1, 3.
HW#3 Ross: pp. 105: 14, 18, 19, 20, 21, 23, 24, 26, 37, 56, 60, 66.
HW#4 Ross: pp. 173-179: 1, 2, 4, 15, 17, 18, 19, 21, 23, 25, 31,32
HW#5 Ross: pp. 179-182: 33, 35, 37, 38, 39, 41, 51, 52, 54, 58, 60, 63
HW#6 Ross: p. 183: 66, 67, 70, 73, 74;
pp. 232-235: 1, 4, 6, 8, 10, 11, 13.
HW#7 Ross, pp. 234-6: 15, 16, 17, 18, 19, 20, 23, 24, 27, 30, 31, 32.
HW#8 Ross, pp. 236-7: 34, 35, 36, 37, 38, 39.
Special problem. Let X be a gamma random variable with paramters t = 3 and lambda = 2.
Let Y = 0 if X is at most 0 and let Y = 1/X² if X > 0. Find E[Y].
Ross, p. 293: 1, 2, 7, 9, 10.
HW#9 Ross, pp. 294-8: 13, 15, 20, 21, 27, 33, 43; p. 373: 5, 6, 7, 12, 18. Due: Monday, December 1.

NEW HOMEWORK

HW#10 Ross, pp. 377-83: 31, 32, 33, 34, 36, 41, 46, 47, 71; p. 421: 1, 2, 3. Due 12/8.

HW#11 Ross, pp. 422-3: 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15. Due 12/12, either at the special review session or at my office. (I will distribute solutions after class.)

SYLLABUS AND EXAMINATION SCHEDULE:

September 3, 5, 8 §§ 1.1 - 1.6, 2.1, 2.2.
September 10, 12, 15 §§ 2.3 - 2.5, 2.7, 3.1, 3.2
September 17, 19, 22 §§ 3.3, 3.4
September 22 REVIEW for Exam 1
September 24 EXAM 1 (on §§ 1.1 - 3.2, excluding 2.6)
September 26 §§ 4.1, 4.2
September 29 §§ 4.1, 4.2
October 1 § 4.3
October 3 §§ 4.4, 4.5
October 6 §§ 4.6, 4.7
October 8 § 4.7
October 10 § 4.8
October 13 § 4.9
October 15 § 4.9
October 17 REVIEW for Exam 2
October 20 EXAM 2 (on §§ 3.3 - 4.8, excluding § 3.5)
October 22 §§ 5.1 and 5.2
October 24 §§ 5.2 and 5.3
October 27 § 5.4
October 29 § 5.5
October 31 §§ 5.5, 5.6
November 3 §§ 5.6, 5.7
November 5 § 5.7
November 7 § 6.1
November 10 § 6.2
November 12 REVIEW for Exam 3
November 14, EXAM 3 (§§ 4.9 -- 5.5, excluding the zeta (Zipf) distribution)
November 17 §§ 6.3
November 19 §§ 6.3, 6.4, and 6.5
November 21 §§ 7.1, 7.2, and 7.3
November 24 § 7.6
December 1 § § 8.1, 8.2, and 8.3
December 3 §§ 8.3, 8.4
December 5 § 8.4
December 8 REVIEW
December 10 REVIEW
December 12 REVIEW SESSION (in usual classroom)
December 1? REVIEW SESSION (to be scheduled)
December 17 FINAL EXAM, 1:30 - 3:30 p.m. in the usual room, 1412 Mason Hall