MATH371 - Introduction to Probability & Statistics  - Fall 2007

Class Pace/Assignments

 

Date and Time of Last Update to This Page: 09/27/10 03:03 PM

 


Up ] MATH371 Syllabus ] [ MATH371 Class Pace/Assignments ] MATH371 Sample Quizzes and Tests ]

 

This page will be updated as we progress through the class so please check regularly for updates.

 

Assignments (in reverse chronological order)

 
Week & Date of Class Assignment(s) Due/Quiz or Test Scheduled

Material Covered

Homework Assignments

Week 15

T 12/11

Final Exam

 

 

Week 14

R 12/6

 

- Review for Final Exam

 

Week 14

T  12/4

- Hand-In Homework 5 Due Today 12/4 by 5:00 p.m.: 5.3-14, 5.4-2, 5.4-8, 6.7-10 and also derive formula 6.7-4 on page 381 from the inequality in formula 6.7-1 on page 380.  Note that the book sketches a derivation starting on the bottom of page 380.  You need to fill in the details.

- Select Applications of the Central Limit Theorem

- Review for Final Exam

 

Week 13

R 11/29

 

- Select Applications of the Central Limit Theorem (Sections 6.7 and 6.8)

Practice Homework:  6.7-1 - 6.7-11 odd, 6.8-7, 6.8-13

Add to Hand-In Homework 5:  6.7-10 and also derive formula 6.7-4 on page 381 from the inequality in formula 6.7-1 on page 380.  Note that the book sketches a derivation starting on the bottom of page 380.  You need to fill in the details.

Week 13

T 11/27

 

- Cover Section 5.4: The Central Limit Theorem including its proof (in Section 5.7)

Practice Homework:  5.4-1, 5.4-3, 5.4-7, 5.4-9, 5.4-15,

Add to Hand-In Homework 5:  5.4-2, 5.4-8

Week 12

T 11/20

-Out of Class Quiz 3 Due by 4:00 p.m. Today 11/20.  It will cover Sections 3.5, 5.2, 4.1 and 4.5

- Cover Section 5.3:  Random Functions Associated with Normal Distributions

Practice Homework:  5.3-1, 5.3-7 (a), 5.3-9 (a),(b), 5.3-11,5.3-13, 5.3-15

Hand-In Homework 5:  5.3-14

Week 12

R 11/15

- Hand-In Homework 4 Due Monday 11/19 by 5:00 p.m.:  3.5-10, 5.2-16, 4.1-10, 4.1-12, 4.6-10

- Cover Sections 4.5 and 4.6: Several Independent Random Variables and Distributions of Sums of Independent Random Variables

Practice Homework: 4.5-1, 4.5-3, 4.5-7, 4.6-1 - 4.6-15 odd, 4.6-19 - 4.6-27 odd

Add to Hand-In Homework 4:  4.6-10

Week 11

T 11/13

 

- Cover Section 4.1: Distributions of Two Random Variables

Practice Homework:  4.1-1 - 4.1-11 odd

Add to Hand-In Homework 4:  4.1-10, 4.1-12

Week 11

R 11/9

 

- Start Section 5.2: The Normal Distribution

Practice Homework:  5.2-1 - 5.2-9 odd, 5.2-13 - 5.2-27 odd.

Hand-In Homework 4:  3.5-10, 5.2-16

Week 10

T 11/7

 

- Cover Section 3.5: Distributions of Functions of a Random Variable

Practice Homework:  3.5-1 - 3.5-11 odd

Week 10

R 11/1

- Hand-In Homework 3 Due Friday 11/2 by 5:00 p.m.: 2.5-12 (explain why this is called the "memoryless" property), 2.5-14 (a)-(d), 2.6-10, 2.6-24, 3.2-10, 3.2-6

- Final Comments on Sections 3.2 and 3.3

- Cover Section 3.4: The Gamma and Chi-Square Distributions

Practice Homework:  3.4-1, 3.4-3, 3.4-4, 3.4-5, 3.4-6, 3.4-8

Week 9

T 10/30

- Board Work Day!

- Problems for Board Work:  2.5-11, 2.5-15, 2.5-21, 2.6-5, 2.6-13, 3.2-3(c), 3.2-5 (c), 3.2-11 (c), 3.2-21

 

 

Week 9

R 10/25

 

- Finish Section 3.2

- Cover Section 3.3: The Uniform and Exponential Distributions

Hand-In Homework 3:  2.5-12 (explain why this is called the "memoryless" property), 2.4-14 (a)-(d), 2.6-10, 2.6-24, 3.2-10, 3.2-6

Practice Homework:  3.3-1 - 3.3-13 odd

Week 8

T 10/23

 

- Finish Section 2.6

- Start Section 3.2: Random Variables of the Continuous Type

Practice Homework:  3.2-1 - 3.2 - 11 odd, 3.2 -10, 3.2-15, 3.2-17, 3.2-21 - 3.2-25 odd

Week 8

R 10/17

 

- Finish Section 2.5

- Start Section 2.6: The Poisson Distribution

Practice Homework:  2.6-1 - 2.6-17 odd, 2.6-21, 2.6-23

Week 7

R 10/11

Midterm Exam (available after class - you must take it by 5:00 p.m. on Friday 10/12)

- Start Section 2.5: The Moment-Generating Function

Practice Homework:  2.5 -1 - 2.5-23 odd

Week 7

T 10/9

- Board Work Day!

- Problems for Board Work:  2.2-3 (c), 2.2-3 (e), 2.3-3, 2.3-5 (a), 2.3-19, 2.3-11(c) also draw histogram to illustrate mean, 2.4-21, 2.4-23, 2.4-9

 

 

Week 6

R 10/4

 

- Cover Section 2.4: Bernoulli Trials and the Binomial Distribution

Practice Homework:

Section 2.4:  2.4-1 - 2.4 17 odd, 2.4-21, 2.4-23 

Week 6

T 10/2

 

- Finish Section 2.3: The Mean Variance and Standard Deviation

Practice Homework:

Finish Section 2.3:  2.3-1 - 2.3-19 odd

Week 5

R 9/27

-Out of Class Quiz 2 Due by 9:30 a.m. Today 9/27.  It will cover Sections 1.4, 1.5, 1.6, and 2.1.

- Cover Section 2.2;  Mathematical Expectation

- Start Section 2.3

Practice Homework: 

Finish Section 2.2:  2.2-1 - 2.2-13 odd

Start Section 2.3:  2.3-1 - 2.3-19 odd

Week 5

T 9/25

- Board Work Day!

- Problems for Board Work: 

Text:  1.4-15, 1.5-17, 2.1-3 parts (c) and (e) only, 2.1-7, 2.1-13, 2.1-15,

Drill:  2.34, 2.41, 2.44

 

- Out of Class Quiz 3 Due by 9:30 a.m. Thursday 9/27. It will cover Sections 1.4, 1.5, 1.6, and 2.1.  It is available to take after class today. 

Week 4

R 9/20

- Hand-In Homework 2 Due Friday 9/21 by Noon:  Textbook Problem: 1.4-19, Drill Problem 2.44

- A little more on Bayes' Theorem

- Cover Section 2.1: Random Variables of the Discrete Type

Practice Homework:  2.1-1 through 2.1-15 odd (note we are now done with the Probability Drill Problems so these are all problems from your textbook).

Week 4

T 9/18

 

- Cover Section 1.5 1.6: Independent Events and Bayes' Theorem

Practice Homework:

- Probability Drill Problems:  2.26 - 2.29, 2.31, 2.33, 2.35 - 2.41

- Textbook Problems: 1.5-1 - 1.5-7 all, 1.5-9 - 1.5-19 odd

Hand-In Homework 2 Due Friday 9/21 by Noon: 

- Add Drill Problem 2.44 to the Hand-In Homework.  You must clearly define all events and clearly show how your are using the laws of probability to get your answer.  You must also answer the questions for discussion in the question.

Week 3

R 9/13

-Out of Class Quiz 2 Due by 9:30 a.m. Today 9/13.  It will cover Sections 1.1-1.3. 

- Section 1.4: Conditional Probability

Practice Homework: 

- Probability Drill Problems:  2.25,  2.30, 2.32, 2.34, 2.42

- Textbook Problems: 1.4-1 - 1.4-17 odd

Hand-In Homework 2 Due Friday 9/21 by Noon: 

- Textbook Problem: 1.4-19

Week 3

T 9/11

- 30 minutes of Board Work from Sections 1.1-1.3.  Problems will come from:  Textbook:  1.1-13, 1.2-8, 1.2-11, 1.2-17, 1.3-11,  1.3-20 and Drill:  2.8, 2.15, 2.22 (This is the new improved 2.22 as discussed in class :-))) and last but not least, both the probability of a straight and a straight flush.

 

Out of Class Quiz 2 Due by 9:30 a.m. Thursday 9/13.  It will cover Sections 1.1-1.3.  It will be available to take anytime after class today.

Week 2

R 9/6

 

- Hand-In Homework 1: Due Friday, Sept 7 by noon: Textbook Problems:   1.2-10, 1.3-14, 1.3-18

- Finish Section 1.3: Methods of Enumeration

Practice Homework:

- Probability Drill Problems:  2.23, 2.24

- Textbook Problems: 1.3-7, 1.3-11, 1.316 - 1.3-21 all.

Combinatorial answers to the poker hands in problem 17:  The notation (x,y) will stand for the combination "x choose y". Four of a kind: (13,1)(4,4)(48,1)/(52,5); Full House: (13,1)(4,3)(12,1)(4,2)/(52,5); Three of a Kind: (13,1)(4,3)(12,2)(4,1)(4,1)/(52,5); Two Pairs: (13,2)(4,2)(4,2)(44,1)/(52,5);  One Pair - hmmmm......see if YOU can do it!  Now for the fun of it, see if you can determine the probability of a straight, a straight flush and a royal flush!

Week 2

T 9/4

  - Start Section 1.3: Methods of Enumeration

Practice Homework:

- Read Section 1.3

- Please work the problems below in the order given:

- Probability Drill Problems:  2.5, 2.13 - 2.22 all (NOTE:  The answer for 2.22 is incorrect!)

- Textbook Problems:   1.3-1, 1.3-3, 1.3-5, 1.3-9, 1.3-15

Week 1

R 8/30

Don't Forget Easy Quiz 1 is Due by Noon on Friday 8/31!

- Section 1.2:  Properties of Probability

Practice Homework: 

- Read Section 1.2

 Probability Drill Problems:  2.6-2.12, 2.21-2.2.24

- Textbook Problems:  1.2-1 - 1.2-21 odd

Hand-In Homework 1: Due Friday, Sept 7 by noon

- Textbook Problems:   1.2-10, 1.3-14, 1.3-18

Week 1

T 8/28

Easy Quiz 1 (Due by Noon on Friday 9/2)

- Review of Syllabus/Website/

Technology Requirements

- Section 1.1: Basic Concepts

- Generating Random Data Via Excel (if time)

Practice Homework:  Read  Section 1.1 and work the following problems:  1.1-1 though 1.1-7 odd, 1.1-9 (try using Excel to simulate), 1.1-11, 1.1-13

Get Your Computer Configured:  Make sure your laptop is configured with the required software (see the Syllabus).  If you need practice with Excel, work through the Excel tutorials on my NSF Project Website.  Make sure you can enter a list into your TI-83 calculator.

 


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