Summer
2007
MATH 3332 – Probability and Statistics
|
Date |
Section |
Assignment |
|
May 30 |
Overview
of descriptive statistics. Introduction to Minitab Measures
of variability. Boxplots. |
|
|
June 1st |
Class
meets in CL 1005 at More on
plots: histograms, boxplots in Minitab and Microsoft Excel. Doing descriptive
statistics with Excel and Minitab. Introduction
to Probability. Sample space, events and operations with events. The
definition of probability and properties.(2.1 and 2.2). Notes on doing categorical data plots with
excel. Notes on doing histograms
and summary statistics with Excel. Notes on doing plots
and statistical analysis wit Minitab. The data is on miles/per/gallon(MPG.xls) Here is the Minitab
project file with the analysis. |
Read
Chapter 1 and section 2.1, 2.2 in Chapter 2. Use the
CD that comes with the text to download the data. If you don’t have it I will
provide link to data set. Homework #1: Chapter 1: ex 24 (use your own bin in Excel
command starting with 4200. You only have to specify the upper bound of each
interval, so there is no need to consider 4000); ex
23, 38, 51,
60(you may use Minitab or after performing the
descriptive statistics on a software of choice do the boxplot by hand), 61. Chapter 2: 12, 14, 21. Announcements: Check your |
|
June 11 |
Counting
techniques: Permutations and Combinations. Conditional
probability: Bayes Theorem. |
Suggested problems: Section 2.3: 32, 33, 36, 38. Section 2.4: 45, 47, 50, 51, 59, 60, 62, 64 (read
example 2.30). |
|
June 13 |
More on
independent events. Examples from section 2.5. Discrete
random variables: examples, Bernoulli random variables. Expected
value of a random variable. Example of a game of chance. See notes on Minitab
simulation example. |
Hw#1 due Suggested
problems: section 2.5: 69, 72, 74, 75, 77, 81. Supplementary
ex: 98, 100, 102. Section 3.1: 7, 8, 10. Section 3.2: 11, 12, 13, 14, 17, 18(this
one can be nicely done with a simulation), 22, 23. Read
the definition of the variance. I will post some examples soon. Section 3.3: 28, 29, 34, 35, 38. |
|
June 15 |
We will
meet at 11, in CL 1003 |
|
|
June 18 |
|
A practice test is posted
together with its solutions on the Resources
page. |
|
June 20 |
Exam 1.
The
geometric distribution. |
Hw#2: Chapter 3: 38, 51, 54, 56, 83, 84. See updates on Resources
page. |
|
June 25 |
The
Poisson distribution. Continuous
probability distributions. Expected value, variance and standard deviation. |
Suggested
problems: Chapter 3: 76, 79, 80, 81, 85; 103, 106, 107. Chapter
4: 1, 2, 4, 5, 8, 11, 12, 13, 21, 22. |
|
June 27 |
Expected
value and variance of a continuous random variable (4.2) The
exponential distribution and its properties.(4.5) Some class notes and Minitab output. |
Hw#2 due |
|
July 2nd |
The
normal distribution. Probability plots. Skip the normal approximation to the
binomial (for now). Class meets in CL 1005 |
Suggested
problems: Chapter Practice test #2 now posted on Resources page |
|
July 9 |
Joint probability distributions. Discrete case. Expected values, covariance and correlation.(5.1-5.2) |
Hw#3: chapter 4: 94, 96, 99, 102. Suggested
problems: Section 4.3: 26, 27, 28, 31, 33, 35, 39, 42, 45. Section
4.6: 82, 83, 85, 88. |
|
July 11 |
Exam #2. Statistics and their distributions. (5.3) |
Hw#3 due Suggested
problems: chapter 5: 1, 2, 3, 14; 22, 23, 26; 37(for part b use the formula
for Hw#4: Ch. 5: 22, 26, 41, 48,
54. |
|
July 16 |
The
distribution of the sample mean. The Central Limit Theorem. (5.4) The
distribution of a linear combination. Some
general concepts of point estimation (6.1) |
Suggested
pb: sections 5.4-5.5: 46, 47, 48, 50, 52, 53. 58, 59, 62, 64, 65, 68, 74. Supplementary:
75, 79, 80, 84. Read
6.1. |
|
July 18 |
Confidence
intervals for means and proportions. |
Hw#4 due A practice test for final is posted on Resources page. |
|
July 23 |
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July 25 |
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