Spring 2006
Math 3332
– Probability and Statistics
|
Date |
Section |
Assignment |
|
Jan 9 |
Overview
of descriptive statistics. Introduction to Minitab |
Read
Chapter 1. HW#1: ex. 20, 24, 32. Find the mean
and the median for each data set. Use Minitab or other statistics software
for plots. When you construct histograms you may use the software default
rather than the suggestions given in the problems. |
|
Jan 11 |
Measures
of variability. Boxplots. Introduction
to Probability |
Suggested
problems on Ch 1: 36, 41, 42, 51, 55, 57, 68, 69, 78. HW#1: 45, 59. |
|
Jan 16 |
No
class. Martin Luther King birthday observed. |
|
|
Jan 18 |
Axioms
and properties of probability Section 2.2 |
HW#1 due. Suggested
problems on Ch 2: 2, 3, 6, 8, 12, 14, 15, 17, 18, 19, 21. |
|
Jan 23 |
Counting
techniques: permutations and combinations. |
Suggested
problems: 29, 30, 31, 32, 33, 40. |
|
Jan 25 |
Conditional
probability and independence. |
Suggested
problems: 45, 46, 48, 49(again the light bulbs), 50, 51, 52, 59, 60, 61, 62, 64,
69, 72, 75, 76, 77, 82, 95, 97. |
|
Jan 30 |
Discrete
Random Variables. Probability distributions for discrete random variables. |
HW #2 due: 21, 34, Find the
probability of being dealt a full house at a game of poker (see Hint), 62, 72. |
|
Feb 1st |
The
cumulative distribution function. |
Suggested
problems on Ch 3:7, 10, 12, 13, 14, 16, 17, 18, 22, 23. |
|
Feb 6 |
Expected value, variance and standard deviation of a
random variable. |
Suggested
pb: 28, 29, 31, 34, 35, 38, 41. HW #3: 15, 23, 31, 38, 48, 56. to be continued. |
|
Feb 8 |
The
binomial distribution |
Practice test #1 is posted on the Resources page. |
|
Feb 13 |
The hypergeometric distribution (section 3.5) |
HW#3 due Solutions to the practice test are now posted. Solutions to Quiz 4 as well. |
|
Feb 15 |
Exam 1 |
|
|
Feb 20 |
The Poisson distribution (section 3.6) |
Suggested
problems:75, 76, 78, 79, 80, 81, 84, 85, 87, 88. Chapter
review problems: 91, 93, 95, 96, 97, 103, 105, 107, 109. HW#4: 70, 83, 84, 87, 105, 107. |
|
Feb 22 |
Continuous random variables and their distributions. |
|
|
Feb 27 |
Expected
value, variance and standard deviation for continuous random variables. |
Suggested
problems on Ch 4: 1, 2, 4, 5, 7, 8; 11, 12, 13, 14, 18, 20, 21 22, 24. HW#4 due |
|
March 1 |
The standard normal distribution. Look over the exponential
distribution in section 4.4 |
Suggested
problems: 26, 27, 28, 29, 59, 60, 61, 63, 64. Supplementary
problems: 92, 94, 100, 101, 104. |
|
03/ 13 |
Computing normal probabilities. |
More
suggested problems: 30, 31, 32, 34, 36, 37, 38, 43, 45, 111. HW#5: Ch 4: ex. 13, 22, 32, 37, 42, 100,
101, 102. |
|
03/ 15 |
Probability plots. (4.6) |
|
|
03/ 20 |
Joint
probability distributions.(Ch 5.1 mostly the discrete case) |
HW#5 due. Suggested
problems:1, 2, 3, 4, 5, 6, 7, 14, 15. |
|
03/22 |
Expected
values, Covariance and Corellation Review session on Saturday, 03/24 10-12 in Cl
1007. |
|
|
03/27 |
Exam #2
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|
03/29 |
Statistics and their distributions (5.3). Expected values and variances of linear combinations
(5.5 pages 244-245). |
Suggested
problems: 22, 23, 26, 30, 35, 36; 37, 38, 39, 40,
41, 42; 58, 61, 63, 64. |
|
04/03 |
The distribution of the sample mean. The Central Limit
Theorem. The distribution of a linear combination. |
HW#6: 26, 6
revisited (see link), 42, 50, 52, 64, 74. Suggested
problems: 46, 47, 48-56; 62, 65, 67, 68, 73. Supplementary
ex.: the sky is the limit (i.e. work as many as you can and want), but here
are some suggestions:75, 79, 80, 82, 84, 86. |
|
04/05 |
Linear combinations of independent normally distributed
random variables. The normal approximation to the binomial (see Section 4.3) |
|
|
04/10 |
Introduction to point estimation. |
Read
Section 6.1 |
|
04/12 |
Confidence intervals for means. (7.1, 7.3) |
HW#6 due. Suggested problems Ch.6: 1(skip (b)), 2, 8. Ch 7: 1, 2, 3, 4, 5, 6, 7, 11. |
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04/17 |
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04/19 |
Exam #3 |
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|
04/24 |
Finding the sample size for a given margin of error in
estimating proportions. Brief overview of hypothesis testing. |
|
|
04/26 |
Final review. |
|
|
04/29 |
(Saturday) Review session 10-12 CL 1005 |
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|
05/01 |
Final exam for evening section: |
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05/03 |
Final exam for afternoon section: |
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