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NOTE

This is the webpage for a prior quarter's section of Probability. If you're looking for information on my most recent section of the course, please go to http://ccrg.rit.edu/~whelan/1016-351/

This table gives a tentative timetable for the course. Everything in it (including possibly the dates of exams, homeworks and quizzes) is subject to change.

Chapter, section and problem numbers are from Devore, Probability and Statistics for Engineering and the Sciences, Seventh Edition (Brooks-Cole/Cengage, 2008/2009). ISBN 978-0-495-55744-9

Tuesday Þursday
Tuesday Þursday
Wk01 Mar 9

Chapter 1: Descriptive Statistics

1.1-1.2: Tabular & Pictorial Representations of Data

Practice Problems: 1.11, 1.15, 1.17, 1.29

Mar 11

Chapter 1: Descriptive Statistics

1.3-1.4: Measures of Location & Variability

Practice Problems: 1.33, 1.35, 1.39, 1.49, 1.51, 1.69, 1.73

Wk02 Mar 16

Chapter 2: Probability

2.1-2.3: Axioms and Logic of Probability; Combinatorics (Counting)

Guest lecture by Dr. Farnsworth: part one part two

Practice Problems: 2.5, 2.9, 2.13, 2.17, 2.29, 2.33, 2.43

Problem Set 1 (Sec. 1.1-1.4) due;

Mar 18

Chapter 2: Probability

2.4-2.5: Conditional Probabilities & Bayes's Theorem; Independence

Guest lecture by Dr. Kim: notes worksheet

Practice Problems: 2.45, 2.59, 2.63, 2.71, 2.105 parts a & b

Quiz 1 (Sec. 1.1-1.4)

Wk03 Mar 23

Chapter 3: Discrete Random Variables

3.1-3.2: Probability Mass Function & Cumulative Distribution Function

Practice Problems: 3.7, 3.9, 3.13, 3.21, 3.23, 3.25

Problem Set 2 (Sec. 2.1-2.5) due;

Mar 25

Chapter 3: Discrete Random Variables

3.3-3.4: Expected Values; Binomial Distribution

Practice Problems: 3.29, 3.33, 3.43, 3.47 (use formula first, then verify w/table), 3.55, 3.59

Quiz 2 (Sec. 2.1-2.5)

Wk04 Mar 30

Chapter 3: Discrete Random Variables

3.5: Hypergeometric & Negative Binomial Distributions

Practice Problems: 3.65, 3.69, 3.71, 3.73, 3.75, 3.77

Problem Set 3 (Sec. 3.1-3.4) due

Apr 1

Chapter 3: Discrete Random Variables

3.6: Poisson Distribution

Practice Problems: 3.79, 3.81, 3.83, 3.85, 3.91, 3.93

Quiz 3 (Sec. 3.1-3.4)

Wk05 Apr 6

Review for Prelim Exam 1

Problem Set 4 (Sec. 3.5-3.6) due

Quiz 4 (Sec. 3.5-3.6)

Apr 8

FIRST

PRELIM

EXAM

(Chapters 1-3)

Wk06 Apr 13

Chapter 4: Continuous Random Variables

4.1-4.2: Probability Density Function & Cumulative Distribution Function

Practice Problems: 4.1, 4.5, 4.11, 4.13, 4.17, 4.21

worksheet [solns]

Apr 15

Chapter 4: Continuous Random Variables

4.3: Normal Distribution

Practice Problems: 4.29, 4.31, 4.35, 4.47, 4.53, 4.55

Wk07 Apr 20

Chapter 4: Continuous Random Variables

4.4-4.5: Other Distributions (Exponential, Gamma, etc)

Practice Problems: 4.59, 4.61, 4.67, 4.69, 4.71, 4.79, 4.85

Problem Set 5 (Sec. 4.1-4.3) due

Apr 22

Chapter 4: Continuous Random Variables

4.6: Probability Plots

Practice Problems: 4.87, 4.89, 4.91, 4.93, 4.97, 4.111

Quiz 5 (Sec. 4.1-4.3)

Wk08 Apr 27

Chapter 5: Joint Probability Distributions & Random Samples

5.1 Joint Probability Distributions

Practice Problems: 5.1, 5.3, 5.9, 5.13, 5.19, 5.21

Problem Set 6 (Sec. 4.4-4.6) due

Apr 29

Chapter 5: Joint Probability Distributions & Random Samples

5.2: Expectation Values, correlation and covariance

Practice Problems: 5.25, 5.27, 5.31, 5.33

Quiz 6 (Sec. 4.4-4.6)

Wk09 May 4

Chapter 5: Joint Probability Distributions & Random Samples

5.3-5.4: Statistics; Distribution of Sample Mean

Practice Problems: 5.37, 5.39, 5.41, 5.45, 5.49

Problem Set 7 (Sec. 5.1-5.2) due

May 4

Chapter 5: Joint Probability Distributions & Random Samples

5.5: Central Limit Theorem; Distribution of a Linear Combination

Practice Problems: 5.55, 5.57, 5.61, 5.65, 5.67, 5.89

Quiz 7 (Sec. 5.1-5.2)

Wk10 May 11

Review for Prelim Exam 2

Problem Set 8 (Sec. 5.3-5.5) due

Quiz 8 (Sec. 5.3-5.5)

May 13

SECOND

PRELIM

EXAM

(Chapters 4-5)

Wk11 May 18

Review for Final Exam

May 20

FINAL

EXAM

(Chapters 1-5)


Last Modified: 2011 December 8

Dr. John T. Whelan / john.whelan@astro.rit.edu / Professor, School of Mathematical Sciences & Center for Computational Relativity and Gravitation, Rochester Institute of Technology

The contents of this communication are the sole responsibility of Prof. John T. Whelan and do not necessarily represent the opinions or policies of RIT, SMS, or CCRG.

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