Math 3338, Section 10196 - Spring 2004

Probability

Teacher Evaluations

The Mathematics Department will collect the evaluations via an online form.
See http://online.math.uh.edu.

Classes: MWF 9-10 in 162 F (Fleming)
Instructor: Andrew Török
- Office: 672 PGH
- Phone: (713) 743-3478
- E-mail: torok@math.uh.edu
- Office hours: see the home-page
TA: Cedric Kouam
- Office: office hour held in 648 PGH (the computer lab)
- E-mail: cedric@math.uh.edu
- Office hour: Monday, 10-11am
Textbook: Probability and Statistical Inference by Robert Hogg and Elliot Tanis, 6^th edition
(there are differences between this and the 5^th edition, at least as far as the material is organized and the numbering of the exercises).
Course description
- Tentative Syllabus: see the department page of syllabi
- Policy
Extra help:
- Learning Support Services, 321 Social Work Bldg, phone (713) 745-411, http://www.las.uh.edu/LSS/.
- Mathlab, 222 Garrison Gym: roughly 9 AM - 7 PM Mo-Th, 9 AM - 2 PM Fr
  For help with this course, recommended times are 9 - 1:30 every day and 2:30 - 7 MW.
  Ask for Rosa Hatcher, Khoi Hoang, Elizabeth Mehlick, Dave Ojas, Ledia Osmani, or Tam Tran.

Examinations

Exam I: Wednesday, Feb. 25
- Will cover all material up to (and including) what was discussed two classes before the exam.
  The last topic to be included is Example 3.4-3.
- Please bring your student I.D.
- It will be a closed book exam. The necessary tables will be provided.
- Calculators can be used.
- Review held during the class before the exam. Bring any questions you might have.
- Here is a list of review problems. A list with some of the main topics discussed so far is here.
- Corrected approximate results:
  - average 63/100
  - min, quartiles, max: 28, 47, 64, 76, 97.
    This is the five-number summary (see page 34 of the textbook: there are about 25% of students in each of these four intervals).
Exam II: Wednesday, March 31
- Will cover all material up to (and including) what was discussed two classes before the exam.
- Please bring your student I.D.
- It will be a closed book exam. The necessary tables will be provided.
  However, you can bring one sheet of paper (regular size, two-sided) with notes.
  You can write whatever you want in these notes, but it should be your own work.
- Calculators can be used.
- Review held during the class before the exam. Bring any questions you might have.
- Here is a list of review problems. A list with some of the main topics discussed so far is here.
- Approximate results For Exam II:
  - average 67/100
  - min, quartiles, max: 21, 51, 67, 83, 113
  For Exam I+Exam II:
  - average 136/200
  - min, quartiles, max: 69, 118, 140, 146, 206
Exam III: Wednesday, April 28
- Will cover all material up to (and including) what was discussed two classes before the exam.
- Please bring your student I.D.
- It will be a closed book exam. The necessary tables will be provided.
  However, you can bring one sheet of paper (regular size, two-sided) with notes.
  You can write whatever you want in these notes, but it should be your own work.
- Calculators can be used.
- Review held during the class before the exam. Bring any questions you might have.
- Here is a list of review problems. A list with some of the main topics discussed so far is here.
- Approximate results For Exam III:
  - average 66/100
  - min, quartiles, max: 9, 55, 67, 83, 98
  For Exam I+Exam II+Exam III:
  - average 201/300
  - min, quartiles, max: 109, 167, 206, 230, 299
Final Exam: Monday, May 10, 8 a.m.-11 a.m. (in 162 F)
- It will be comprehensive.
- Please bring your student I.D.
- It will be a closed book exam. The necessary tables will be provided.
  However, you can bring two sheets of paper (regular size, two-sided) with notes.
  You can write whatever you want in these notes, but it should be your own work.
- Calculators can be used.
- For review problems, you can consult the lists used for the Exams I-III.
- For a list with some of the main topics discussed so far, check the list given for Exam III.

Assignments

The problems below are from the textbook. Please write the solutions on separate pages (i.e., do not hand in a note-book), and STAPLE them.
The homeworks must be handed in during the Wed. class (unless specified otherwise).

LATE homeworks will receive a 20% penalty. I should receive them during the class following the one when the HW was due.

Some of the problems have the answer or a hint in the textbook. If you have to hand in such a problem, you are welcome to use the hint but have to still write a complete solution.

HOMEWORKS
HW # Section HAND IN Solve only, do not hand in

1. (due Jan. 28) 1.1 2, 6 1, 3
1.2 2, 4, 6 3
2.1 2 1
2. (due Feb. 4) 2.1 4, 8, 12, 15 3, 10
2.2 2, 4, 7, 10, 15, 18 1, 5, 13, 16
2.3 2, 5 1
3. (due Feb. 11) 2.3 4, 6, 9 (answer in book seems incorrect; it should be 1/5), 14 7, 13, 15
2.4 2, 5, 7, 16 1, 9, 12, 18
4. (due Feb. 18) 2.5 4, 8 1, 2, 5
3.1 3 (c) and (d), 6, 10 1, 7, 11
3.2 2, 4, 5 (Hint: does it really matter that we draw without replacement?),
20 (for (b), you can use formulas from this section;
the answers are: mean 0.734, variance 0.577) 3 (c) and (d), 8, 12,
15 (see formulas on p. 126), 17
5. (due Feb. 23) 3.3 2, 3, 10, 18 1, 7, 16, 17
3.4 2 (a), (c) and (f) [Hint: if you know the answer to (i), it could be easy to answer (ii)],
3 1
6. (due March 3) 3.4 2 (e), 4, 7, 12 8
7. (due March 10) 3.5 1, 6, 7, 8 2, 3, 5, 13
4.1 6 (answer for (b): mean=e-2, variance=2+2e-e²)
8. (due March 24) 4.1 1, 3, 15 8, 5, 9
4.2 3, 6, 9 (Hint for (b): try to write M(t) in a different way), 13 2, 8, 11 (compare to 3.4-12), 12
4.3 1, 2 (answer: 0.355), 8 (answer at (b): .687) [Note: the hint at (b) should say lambda=16; you can also use a table] 3, 4, 5, 7
9. (due March 29) 4.3 9, 10, 15
4.4 1, 5, 9, 17 7, 8
10. (due April 14;
no penalty if turned
in April 16) 5.1 1, 7, 8 3, 5, 10
5.2 1, 3, 10 (answer: rho=1/2) 4, 5, 7
5.3 1, 3 (for (e) use the formula from Example 5.3-3)
11. (due April 21) 6.1 2, 7
6.2 5, 7, 9, 12 6, 10, 11
6.3 1(a), 5, 7, 12 (Hint: What is the distribution of X-Y?) 4, 6
12. (due April 26) 6.4 1, 5, 8
6.5 1(a)&(c), 7, 9, 14

HOMEWORKS
1. (due Jan. 28)	1.1	2, 6	1, 3
1.2	2, 4, 6	3
2.1	2	1
2. (due Feb. 4)	2.1	4, 8, 12, 15	3, 10
2.2	2, 4, 7, 10, 15, 18	1, 5, 13, 16
2.3	2, 5	1
3. (due Feb. 11)	2.3	4, 6, 9 (answer in book seems incorrect; it should be 1/5), 14	7, 13, 15
2.4	2, 5, 7, 16	1, 9, 12, 18
4. (due Feb. 18)	2.5	4, 8	1, 2, 5
3.1	3 (c) and (d), 6, 10	1, 7, 11
3.2	2, 4, 5 (Hint: does it really matter that we draw without replacement?), 20 (for (b), you can use formulas from this section; the answers are: mean 0.734, variance 0.577)	3 (c) and (d), 8, 12, 15 (see formulas on p. 126), 17
5. (due Feb. 23)	3.3	2, 3, 10, 18	1, 7, 16, 17
3.4	2 (a), (c) and (f) [Hint: if you know the answer to (i), it could be easy to answer (ii)], 3	1
6. (due March 3)	3.4	2 (e), 4, 7, 12	8
7. (due March 10)	3.5	1, 6, 7, 8	2, 3, 5, 13
4.1	6 (answer for (b): mean=e-2, variance=2+2e-e²)
8. (due March 24)	4.1	1, 3, 15	8, 5, 9
4.2	3, 6, 9 (Hint for (b): try to write M(t) in a different way), 13	2, 8, 11 (compare to 3.4-12), 12
4.3	1, 2 (answer: 0.355), 8 (answer at (b): .687) [Note: the hint at (b) should say lambda=16; you can also use a table]	3, 4, 5, 7
9. (due March 29)	4.3	9, 10, 15
4.4	1, 5, 9, 17	7, 8
10. (due April 14; no penalty if turned in April 16)	5.1	1, 7, 8	3, 5, 10
5.2	1, 3, 10 (answer: rho=1/2)	4, 5, 7
5.3	1, 3 (for (e) use the formula from Example 5.3-3)
11. (due April 21)	6.1	2, 7
6.2	5, 7, 9, 12	6, 10, 11
6.3	1(a), 5, 7, 12 (Hint: What is the distribution of X-Y?)	4, 6
12. (due April 26)	6.4	1, 5, 8
6.5	1(a)&(c), 7, 9, 14

On May 3 we will continue with the review of the material discussed this semester. Please ask any questions you have.

Last modified: April 30, 2004

HOMEWORKS
HW #	Section	HAND IN	Solve only, do not hand in
1. (due Jan. 28)	1.1	2, 6	1, 3
	1.2	2, 4, 6	3
	2.1	2	1
2. (due Feb. 4)	2.1	4, 8, 12, 15	3, 10
	2.2	2, 4, 7, 10, 15, 18	1, 5, 13, 16
	2.3	2, 5	1
3. (due Feb. 11)	2.3	4, 6, 9 (answer in book seems incorrect; it should be 1/5), 14	7, 13, 15
3. (due Feb. 11)	2.4	2, 5, 7, 16	1, 9, 12, 18
4. (due Feb. 18)	2.5	4, 8	1, 2, 5
	3.1	3 (c) and (d), 6, 10	1, 7, 11
	3.2	2, 4, 5 (Hint: does it really matter that we draw without replacement?), 20 (for (b), you can use formulas from this section; the answers are: mean 0.734, variance 0.577)	3 (c) and (d), 8, 12, 15 (see formulas on p. 126), 17
5. (due Feb. 23)	3.3	2, 3, 10, 18	1, 7, 16, 17
5. (due Feb. 23)	3.4	2 (a), (c) and (f) [Hint: if you know the answer to (i), it could be easy to answer (ii)], 3	1
6. (due March 3)	3.4	2 (e), 4, 7, 12	8
7. (due March 10)	3.5	1, 6, 7, 8	2, 3, 5, 13
7. (due March 10)	4.1	6 (answer for (b): mean=e-2, variance=2+2e-e²)
8. (due March 24)	4.1	1, 3, 15	8, 5, 9
	4.2	3, 6, 9 (Hint for (b): try to write M(t) in a different way), 13	2, 8, 11 (compare to 3.4-12), 12
	4.3	1, 2 (answer: 0.355), 8 (answer at (b): .687) [Note: the hint at (b) should say lambda=16; you can also use a table]	3, 4, 5, 7
9. (due March 29)	4.3	9, 10, 15
9. (due March 29)	4.4	1, 5, 9, 17	7, 8
10. (due April 14; no penalty if turned in April 16)	5.1	1, 7, 8	3, 5, 10
	5.2	1, 3, 10 (answer: rho=1/2)	4, 5, 7
	5.3	1, 3 (for (e) use the formula from Example 5.3-3)
11. (due April 21)	6.1	2, 7
	6.2	5, 7, 9, 12	6, 10, 11
	6.3	1(a), 5, 7, 12 (Hint: What is the distribution of X-Y?)	4, 6
12. (due April 26)	6.4	1, 5, 8
12. (due April 26)	6.5	1(a)&(c), 7, 9, 14