MA 385 - Introduction to Probability - Spring 2004

Assignments

Date and Time of Last Update to This Page: 09/27/10 03:06 PM


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Homework Problems from the Textbook and the Probability Drill Problems sheet (some of which will be hand-in problems, see below).  Once we have finished covering a Section in the text, you are responsible for working the non hand in homework problems for that section given at the above link.  I may also assign homework problems from the Virtual Laboratories in Probability and Statistics (VLPS) which will be indicated below.

Assignments

 
Date of Class Assignment(s) Due

New Material Covered/

Activity Used

Non Hand-In Assignments Hand-In Assignments (Due Date)

T 1/13

None

Sections 1.1

Start Section 1.2

- Read Sections 1.1 and 1.2

- Start Section 1.1 and 1.2 Problems

- Based on level of familiarity, work through Minitab and Excel Tutorials  on my NSF project website.

Easy Quiz 1 and Student Self Assessment (1/20)

Th 1/15

None

- Finish Section 1.2

- Read Appendix A.1 Algebra of Sets

- Finish 1.2 Problems

 
T 1/20

Easy Quiz 1

and

Student Self Assessment

- Activity:  Probability & Equally Likely Sample Spaces (Random Babies)

- Start Section 2.1

- Read Section 2.1

- Start Section 2.1 Problems

Report 1:  Parts (q) - (t) of the Random Babies Activity (1/29)
Th 1/22 None - Section 2.1

- Finish Section 2.1 Problems (including Probability Drill Problems)

- Read Section 2.2

Hand-In Homework 1:  Problem 2.1-10 (2/3)
T 1/27 None - Section 2.2 - Section 2.2 Problems (including Probability Drill Problems) Add Problem 2.2-12 to Hand-In Homework 1
Th 1/29 Report 1 (from the Random Babies Activity)

- Finish Section 2.2

- Finish Section 2.2 Problems (including Probability Drill Problems)

 
T 2/3 Hand-In Homework 1 (2.1-10, 2.2-12)

- Activity Conditional Probability and the Law of Total Probability

- Sections 2.3 and 2.4 

- Complete the activity Conditional Probability and the Law of Total Probability up to the beginning of the Graduate School Admissions scenario.

- Start Section 2.3  and 2.4 Problems (including Probability Drill Problems)

Report 2:  Graduate School Admission (parts (g) - (l)) and Weekend Weather (parts (s)-(r)) of the Conditional Probability and Law of Total Probability Activity

(Due T 2/10)

Th 2/5 In-Class Quiz 2 on Sections 1.1, 1.2, 2.1, and 2.2

- Finish Sections 2.3 and 2.4

- Finish Section 2.3 and 2.4 Problems (including Probability Drill Problems) Hand-In Homework 2: Problems 2.4-16 and 2.5-7 (Due T 2/17)
T 2/10 Report 2 Due

- Section 2.5 (The Law of Total Probability and Bayes' Theorem)

- Dr. L. out of town, Dr Siegrist will be the Guest Lecturer

- Finish all problems from Sections 2.3, 2.4, and 2.5 (Including Probability Drill Problems)  
Th 2/12  

- Section 3.1

- Dr. L. out of town, Dr Siegrist will be the Guest Lecturer

- Start Section 3.1 Problems

 
T 2/17   - Review Sections 2.3, 2.4, 2.5    
Th 2/19

Hand-In Homework 2 Due

In-Class Quiz 3 (Covers Sections 2.3, 2.4,  & 2.5)

- Review Section 3.1

- Start Section 3.2

   
T 2/24  

- Review Quiz 3 and Hand-In Homework 2

- Review for Test 1

- Finish Section 3.1 Problems  
Th 2/26 Test 1 - Covers Sections 1.1, 1.2, 2.1, 2.2, 2.3, 2.4, 2.5, and 3.1

 

- Start Section 3.2 Problems  
T 3/2  

- Mathematical Expectation Activity

- Finish Section 3.2 Problems

Report 3:  Roulette Simulation, i.e. parts (i)-(n) of the Mathematical Expectation Activity

(Due T 3/9)

Th 3/4  

- Section 3.3

- Section 3.3 Problems

 
T 3/9 Report 3 Due

- Section 3.4

- Section 3.4 Problems

Hand In Homework 3:  3.4.12, Derive the moment generating function for the geometric distribution from basic principles (i.e. using the p.m.f. of the geometric distribution) and use the moment generating function to show the mean and variance of the distribution are as given on the front flap of your textbook.  (Due:  T 3/16)
Th 3/11  

- Go over Section 3.4 Homework Problems

- Finish all homework from 3.4

 
T 3/16

Hand-In Homework 3 Due

(3.4.12 and m.g.f. problem)

- Section 4.1

- Section 4.2 (Uniform Distribution Only)

- Section 4.1 Problems

- Section 4.2 Problems (only work through problem 5)

Th 3/18

In Class Quiz 4

Covers Sections 3.1-3.4

- Section 4.4

- Section 4.4 Problems

- Check out the Maple Worksheet that graphs normal curves for various values of mu and sigma.

Hand-In Homework 4:  4.4.10 (Hint:  Try using Moment Generating Functions OR a proof similar to the proof in Theorem 4.41), 4.4.20

(Due:  Th 4/1)

T 3/23 & Th 3/25 No Class - Spring Break - Have a Great Spring Break!    
T 3/30  

- Section 4.4 and Start Sampling Distribution Theory

   
Th 4/1 Hand-In Homework 4 Due (4.4.10, 4.4.20)

CLT Pre-Assessment

- Sections 6.1, 6.2, and 6.3

Section 6.1 Problems:  1, 3(a), 5 (only find mean and variance via properties of mathematical expectation), 9

Section 6.2 Problems:  1 (do not find p.m.f, only determine mu and sigma using properties of mathematical expectation only), 5

 

  
T 4/6 In Class Quiz 5 - Covers Sections 4.1, 4.2 (Uniform Distribution Only), and 4.4 - More from Sections 6.2 and 6.3

Finish Problems assigned from 6.1 and 6.2 above.

Section 6.3 Problems:  1, 2, 3, 4, 7(a), 9(a,b)

Hand-In Homework 5: Problems 6.3-4 and 6.4-6.  For problem 6.4-6 graph f(x) and the approximate distribution of Xbar on the same axes.  (Due:  Tuesday 4/20)
Th 4/8  

- Sampling Distributions and Intro to the Central Limit Theorem activity

- Section 6.4

Section 6.4 Problems:  1, 3, 4, 7, 8, 9 Report 4:  Hand-In Parts (j)-(q) of the Sampling Distributions and Intro to the Central Limit Theorem activity.  (Due Thursday 4/22)
T 4/13 No Class - Honors Day      
Th 4/15 Test 2 - Covers Sections 3.1, 3.2, 3.3, 3.4, 4.1, 4.2 (Uniform only), 4.4, 6.1, and 6.2      
T 4/20 Hand-In Homework 5 Due  (6.3-4, 6.4-6 (plus graphs))

- Section 7.2

- Start Section 7.5

- Work Problems Assigned From Section 7.2

- Start Section 7.5 Problems

 
Th 4/22 Report 4 Due

- Finish Section 7.5

- Section 7.6

- Finish Section 7.5 Problems

- Work Problems Assigned From Section 7.6

 
T 4/27

Last Day of Class

Quiz 6 - Covers Sampling Distributions

- Review for Final

- Topics for Final Exam

  - Download and Complete the Student Self Assessment  (Due Tuesday 5/4)
T 5/4 Final Exam 3:00-5:30 p.m.

Student Self Assessment Due

NOTE (4/21/04):  Please make sure the Student Self Assessment you turn in has Parts I, II, and III    

 


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