Math 477 (Probability), Section 3, Fall 2017 (Rutgers University)
http://sites.math.rutgers.edu/~zeilberg/math477_17.html
Last Update: Dec. 22, 2017
Textbook
A first course in Probability by Sheldon Ross, ninth edition
Instructor
Dr. Doron ZEILBERGER ("Dr. Z")
[Office: Hill 704; Email: DrZprob at gmail dot com [Note: This Email is ONLY for this class.] ]
TA at Large
Mr. Andy Huynh
[Email: andy dot huynh61 at rutgers dot edu]
Mr. Huynh's Office Hours
Wed. 13pm, HLL 626 and Thurs. 121:30pm .
Times and Place
Free Tutoring (in lieu of office hour)

Mondays 5:406:30pm, SEC 203
Additional Office Hour: Thursdays 12:00noon1:00pm, Hill 704
CLASS POLICY (and grading method)
Answers to Homework Problems
Lecture Schedule

Mandatory Preliminary Reading:
Professor James Norris's beautiful essay on
Probability Distributions
[posted here by kind permison of the author].

Th 9/7: Lecture 1.
1.11.5 Combinatorial Analysis
homework 1 (due 9/21)
Added Sept. 7, 2017: Here is attendance quiz 1
and here are the solutions to the attendance quiz

M 9/11: Lecture 2.
2. 2.12.4; What is Probability? Counting vs. Probability
homework 2 (due 9/21)
Added Sept. 11, 2017: Here is attendance quiz 2
and here are the solutions to the attendance quiz

Th 9/14: Lecture 3.
2.5: Sample spaces having equally likely outcomes.
homework 3 (due 9/21)
Added Sept. 14, 2017: Here is attendance quiz 3
and here are the solutions to the attendance quiz

M 9/18: Lecture 4.
3.13.3: Conditional Probability and Independence; Bayes's Formula
homework 4 (due 9/28)
Added Sept. 18, 2017: Here is attendance quiz 4
and here are the solutions to the attendance quiz

Th 9/21: Lecture 5.
3.4 : Independent events. Quiz 1 (On Lectures 13)
homework 5 (due 9/28)
Added Sept. 21, 2017: Here is attendance quiz 5
and here are the solutions to the attendance quiz
Also Added Sept. 21, 2017: Here is real quiz 1
and here are the solutions to real quiz 1 .

M 9/25: Lecture 6. .
4.14.3: Random Variables
homework 6 (due 10/5)
Added Sept. 25, 2017: Here is original attendance quiz 6 (that I forgot at home)
and here are its solutions
Here are its solutions to the "quiz" I made up on the board.

Th 9/28: Lecture 7. .
4.44.5: Expectation and Variance. Quiz 2 (On Lectures 45)
homework 7 (due 10/5)
Added Sept. 28, 2017: Here is attendance quiz 7
and here are the solutions to the attendance quiz
Also Added Sept. 28, 2017: Here is real quiz 2
and here are the solutions to real quiz 2.

M 10/2: Lecture 8.
4.6: The Bernoulli and Binomial Random Variables
homework 8 (due 10/12)
Added Oct. 2, 2017: Here is attendance quiz 8
and here are the solutions to the attendance quiz

Th 10/5: Lecture 9.
4.7: The Poisson Random Variable . Quiz 3 (On Lectures 67)
homework 9 (due 10/12)
Added Oct. 5, 2017: Here is attendance quiz 9
and here are the solutions to the attendance quiz
Also Added Oct. 5, 2017: Here is real quiz 3
and here are the solutions to real quiz 3 .

M 10/9: Lecture 10.
4.8: Other Discrete Probability Distributions; Linearity of Expectation
homework 10 (due 10/19)
Added Oct. 9, 2017: Here is attendance quiz 10
and here are the solutions to the attendance quiz

Th 10/12: Lecture 11.
5.15.2: Continuous Random Variables; Their Expectation and Variance. Quiz 4 (On Lectures 89)
homework 11 (due 10/26)
Added Oct. 12, 2017: Here is attendance quiz 11
and here are the solutions to the attendance quiz
Also Added Oct. 12, 2017: Here is real quiz 4
and here are the solutions to real quiz 4 .

M 10/16: REVIEW.

Th 10/19: EXAM 1 (On lectures 111)
Added Oct. 19, 2017: Here is Exam 1
and here are the solutions to Exam 1.
Added Oct. 22, 2017: Congratulations to the five students who aced exam 1 and got the full 100 points:
Victor Chen,Rikab Gambhir, Yuxuan Ge, Zhixin Mao, and Ziou Zeng. Special congratulations
to Rikab Gambhir who won a Pi Tshirt for the
bestwritten exam.

M 10/23: Lecture 12.
5.35.4: The Uniform Distribution and the Normal Distribution.
homework 12 (due 11/2)
Z table
Added Oct. 23, 2017: Here is attendance quiz 12
and here are the solutions to the attendance quiz

Th 10/26: Lecture 13.
5.5: The Exponential Distribution . Quiz 5 (On Lectures 1011).
homework 13 (due 11/2)
Added Oct. 26, 2017: Here is attendance quiz 13
and here are the solutions to the attendance quiz
Also Added Oct. 26, 2017: Here is real quiz 5
and here are the solutions to real quiz 5 .

M 10/30: Lecture 14.
6.1: Joint Distribution Functions
homework 14 (due 11/9)
Added Oct. 30, 2017: Here is attendance quiz 14
and here are the solutions to the attendance quiz

Th 11/2: Lecture 15.
6.26.3: Independent Random Variables and their Sums. Quiz 6 (On Lectures 1213)
homework 15 (due 11/9)
Added Nov. 2, 2017: Here is attendance quiz 15
and here are the solutions to the attendance quiz
Also Added Nov.2, 2017: Here is real quiz 6
and here are the solutions to real quiz 6 .

M 11/6: Lecture 16.
6.46.5: Conditional Distributions
homework 16 (due 11/16)
Added Nov. 6, 2017: Here is attendance quiz 16
and here are the solutions to the attendance quiz

Th 11/9: Lecture 17.
7.17.2: Expectation of Sums of Random Variables. Quiz 7 (On Lectures 1415)
homework 17 (due 11/16)
Added Nov. 9, 2017: Here is attendance quiz 17
and here are the solutions to the attendance quiz
Also Added Nov.9, 2017: Here is real quiz 7
and here are the solutions to real quiz 7 .

M 11/13: Lecture 18.
Probability Generating Functions; The Gambler's Ruin Problem.
homework 18 (due 11/21)
Added Nov. 13, 2017: Here is attendance quiz 18
and here are the solutions to the attendance quiz

Th 11/16: Lecture 19.
7.4: Covariance, Variance of Sums, and Correlations . Quiz 8 (On Lectures 1617)
homework 19 (due 11/21)
Added Nov. 16, 2017: Here is attendance quiz 19
and here are the solutions to the attendance quiz
Also Added Nov.16, 2017: Here is real quiz 8
and here are the solutions to real quiz 8 .

M 11/20: Lecture 20.
7.5: Conditional Expectation.
homework 20 (due 11/27)
Added Nov. 20, 2017: Here is attendance quiz 20
and here are the solutions to the attendance quiz

Tu 11/21: REVIEW . No quiz today.
Quiz 9 (On Lectures 1819) POSTPONED to 11/30)

M 11/27: EXAM 2 (On lectures 119, with some emphasis on lectures 1219) .
Added Nov. 27, 2017: Here is Exam 2
and here are the solutions to Exam 2.

Th 11/30: Lecture 21.
7.7: Moment Generating Functions.
homework 21 (due 12/7)
Quiz 9 (On Lectures 1819)) [note change!]
Added Nov. 30, 2017: Here is attendance quiz 21
and here are the solutions to the attendance quiz.
Also Added Nov.30, 2017: Here is real quiz 9
and here are the solutions to quiz 9.

M 12/4: Lecture 22.
8.2: Chebyshev's Inequality and the Weak Law of Large Numbers.
homework 22 (due 12/18)
Added Dec. 4, 2017: Here is attendance quiz 22
and here are the solutions to the attendance quiz.

Th 12/7: Lecture 23.
8.3 and 8.4, The Central Limit Theorem and The Strong Law of Large Numbers.
homework 23 (due 12/18)
Quiz 10 (On Lectures 20 and 21)
Added Dec. 7, 2017: Here is attendance quiz 23
and here are the solutions to the attendance quiz.
Also Added Nov.30, 2017: Here is real quiz 10
and here are the solutions to quiz 10.

M 12/ 11: REVIEW.
homework 24 (due 12/17, via Email to DrZprob at gmail dot com)
Added Dec. 11, 2017: Here is attendance quiz 24
and here are the solutions to the attendance quiz.

Th 12/14: 2:00pm5:00pm (Optional, but strongly recommended) Marathon review, HLL 116 (the usual classroom).

Final:

Monday, Dec. 18, 2017, 8:0011:00am , in PH 111 (note room change)
Added Dec. 18, 2017: Here is the Final Exam
and here are the solutions to the Final Exam.
Added Dec. 22, 2017: Congratulations to the top scorers on the Final Exam , who scored at least 190 points (out of 200):

Victor Chen: 200

Aaron Kau:200

Charlotte Zuber: 195

Wenjie Chen: 194

Norman Hong: 194

Rowen Kanj: 193

Yuxuan Zhou: 193

Judah Axelrod: 191

Sining An: 190
Added Jan. 4, 2018: students' evaluations .
Dr. Z.'s teaching