Spring 2009
Math 3332
– Probability and Statistics
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Date |
Section |
Assignment |
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Jan 12 |
Overview
of descriptive statistics. Types of data. Introduction to Minitab. Plotting
data. Ex. 14; |
Read
Chapter 1. |
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Jan 14 |
Measures
of location and measures of variability. |
Hw#1 due Jan 21: Chapter 1: ex. 20 (work the problem as told in the attached paper), 29 (is that a histogram that you have
to draw??) 36, 64. |
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Jan 19 |
No
class. Martin Luther King birthday observed. |
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Jan 21 |
Sample space
of an experiment and events. Axioms and properties of probability. |
Read Sections 2.1 and 2.2. Hw#2 due Feb 2nd: Chapter 2: 3, 7, 11, 14, 15,
17, 21. there will be more problems added to Hw#2. Suggested problems: on top of the above: 2, 16, 18. |
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Jan 26 |
Counting
techniques: (section 2.3): Permutations and Combinations. |
Read Section 2.3. Suggested problems: 29, 30, 31, 32, 33, 34, 38 (again
the “bulb” problem). See below the updated
Hw#2 assignment. |
|
Jan 28 |
Conditional
probability. |
Read Section 2.4 up to Bayes’
Theorem. Suggested problems: Chapter 2: 45, 46, 47, 49, 50. |
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Feb 2 |
Bayes’ Theorem. Examples. |
Hw #2 due: Chapter 2: 3, 7, 11, 14, 15, 17, 21; 30, 34, 37 new. |
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Feb 4 |
Random variables
and their probability distributions. |
Hw#3 due Feb 11: Chapter 2: 59, 65, 67, 79, 84, 93, 97 more to
come Suggested problems: Chapter 2: 45, 46, 47, 48, 49, 59,
60, 61, 78, 83, 90, 100. |
|
Feb 9 |
Discrete
random variables. The cumulative distribution function. |
Hw#3 additional problems: Chapter 3: 14, 23. Read section 3.2. Suggested problems: 15, 17, 18. |
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Feb 11 |
Expected
value, variance and standard deviation. |
Hw#3 due The answer key to Practice for Exam 1 is now posted
on the Resources page |
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Feb 13 |
Review for Exam 1 in CL 1007 between 12:15-2:00 |
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Feb 16 |
Exam #1
through section 3.3. |
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Feb 18 |
The
Binomial Distribution (section 3.4) |
Read 3.4. Hw#4 due March 2: Chapter 3: 51, 53, 54, 55, 59. More
to come Suggested problems: section 3.4: 48-57; 59, 60, 62, 66. |
|
Feb 23 |
Examples
on the binomial distribution. The Hypergeometric Distribution (section 3.5) |
Read section 3.5 up to the Negative Binomial
distribution. Suggested problems: 61, 68, 69, 71, 72. Quiz on 3.4 and 3.5. You are allowed a formula sheet. See new hw assignment below. |
|
Feb 25 |
The
Poisson Distribution |
Hw#4 due March 2: Chapter 3: 51, 53, 54, 55, 59; 71,
74(On parts a) and b) you do not have to write all the probabilities. You may
just name the model and give its parameters, or at most give the general pmf as shown in (3.15) on page 117); 86, 87, 91. |
|
March 2 |
Continuous
probability distributions. (4.1) The
cumulative distribution function. |
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March 4 |
More on
continuous distributions. Expected value, variance and standard deviation.
(4.2) |
Read 4.1-4.2. Suggested problems: (see hw plus) 10, 12, 14, 23, 24. Hw#5 due March 18: Chapter 4: 1, 3, 5, 11, 13, 15,
21, 22, 25. |
|
March 16 |
Percentile
values. The
Standard |
Read 4.2; 4.3 to page 149. |
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March 18 |
Nonstandard
Normal Distributions. Finding percentiles. Applications. |
Read 4.3 up to the approximation to the Binomial
distribution. Hw#5 due postponed until Monday, 03/23. New problems added to Hw5: section 4.3: 30(a,
c), 34, 38, 40. Suggested problems: Ch 4: 28, 29, 35, 37, 43, 46, 47. |
|
March 23 |
The
exponential distribution. |
Hw#5 due Quiz on 4.1, 4.2. Suggested problems: |
|
March 24 |
Review
in CL 2007 3:30 – 5:00 PM. |
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March 25 |
Exam 2: 3.4-3.6; Chapter 4. |
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March 30 |
Relationship between the exponential and the Poisson distributions.
(4.4) Joint probability distributions. (Chapter 5.1) only
discrete random variables. |
The answer key to hw5 is now posted in Also, check the Resources page for some examples on
using Maple to compute integrals, plot functions, and solve equations among
other things. Hw#6: due Monday, April 6: Ch.4: 60, 103: Ch5:
2, 3, 6, 4, 14, 22. New problem added: 26. Suggested problems (see hw plus) 5, 7 |
|
April 1st |
Expected
values and covariance (5.2). |
Quiz on 4.4 (exponential distribution) and 5.1. Notice another problem added to Hw#6: pb 26 from Chapter 5. Check this link for some hints on problem 14 in hw6. |
|
April 6 |
Statistics
and their distributions: 5.3 |
Read 5.3. Suggested problems: 37, 39, 40, 42. |
|
April 8 |
Distribution
of the sample mean. The Central Limit Theorem. |
Quiz on 5.3 Hw#7: (due Monday, April 13)
Chapter 5: 37, 62, 66, 74, 79, 80, 82.
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|
April 13 |
Distribution
of a linear combination of normal variables (5.5) |
Some hints on some
homework problems (37, 66) |
|
April 15 |
Some
topics in estimation. Confidence intervals |
Hw#7 due Quiz on 5.4 and 5.5. Read 7.1 Practice test #3 is posted on the Resources
page. |
|
April 20 |
Finding
the sample size for a given margin of error. Confidence
intervals for means and proportions. |
Suggested pb: 7.1: 1, 2, 3, 4,
6. Hw#8 (due Monday, April 27) Chapter 7: 3, 6, 12, 20, 32,
37(a). |
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April 21 |
Review session from 3:30-5:00 PM in Willingham Hall, Room 126. |
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April 22 |
Exam 3;
Chapter 5 and 7.1-7.3. No tolerance intervals or prediction intervals. |
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April 27 |
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April 30 |
Final
review |
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