MATH 3770 Statistics and Applications
Fall 2004
MWF 15:05-15:55 Smith 105
Office Hours: MW 16:00-17:00, Skiles 224.
The course will introduce the basic notion of probability theory and its
application to statistics. The focus will be on the discussion of
applications.
The text that will be used is:
Jay L. Devore, Probability and Statistics, Thomson
The syllabus can be found
here.
There will be two midterm the first of which will be on Monday September 20th.
The exercise listed are for HW collection. I will collect them every
two weeks and grade 2 or 3 exercises among the one assigned. In case of
differences between the 6th and 5th editions of the book I will indicate in
square brackets the number relative to the 5th edition.
The final greade will be based on the following rules: 50% final, 40%
midterms, 10% HW. Curving will be done on the final result.
First week
Material covered:
- 1.1 (Population, Sample and Processes)
- 1.2 Pictorial and Tabular methods in Descriptive Statistics)
- 1.3 (Measure of Location)
- 1.4 (Measure of Variability)
- 2.1 (Sample Spaces and Events)
Exercises:
- (1.1) 3, 7
- (1.2) 17, 19, 25, 27
- (1.3) 35, 39, 41
- (1.4) 45, 49, 53, 59
- (2.1) 3, 5, 9
Second week
Material covered:
- 2.2 (Axioms, Interpretations and Properties of Probabilities)
- 2.3 (Counting Technique)
- 2.4 (Conditional Probability)
- 2.5 (Indipendence)
Exercises:
- (2.2) 13, 17, 21
- (2.3) 32, 35, 40
- (2.4) 50, 58, 63
- (2.5) 78, 82, 85 [83]
Solutions of the graded HW
Third week
Material covered:
- 3.1 (Random Variables)
- 3.2 (Probability Distributions for Discrete Random Variables)
Exercises:
- (3.1) 6, 8, 10
- (3.2) 12, 16, 20, 22, 26
Fourth week
Material covered:
- 3.3 (Expected Values od Discrete Random Variable)
- 3.4 (The Binomial Probability Distribution)
Exercises:
- (3.3) 28, 34, 36, 37, 41
- (3.4) 46, 50, 54 [52], 59 [57], 61 [59]
Solutions of the graded HW
Fifth week
Material covered:
- 3.5 (Hypergeometric Distribution)
- 3.6 (The Poisson Probability Distribution)
Exercises:
- (3.5) 65 [63], 66 [64], 68 [66]
- (3.6) 76 [74], 81 [79], 84 [82], 88 [86], 89 [87]
Test Preparation Material
Test from previous term: practice test and
solution, test and
solution.
Seventh week
Material covered:
- 4.1 (Continuous Random Variables and Probability Density Functions)
- 4.2 (Cumulative Distribution Functions and Expected Values)
Exercises:
- (4.1) 1, 5, 8
- (4.2) 11, 18, 22, 25
Eighth week
Material covered:
- 4.3 (The Normal Distribution)
- 4.4 after pag. 177 (The Exponential Distribution and The Chi-Squared Distribution)
Exercises:
- (4.3) 26, 27, 30, 33, 37, 42, 51 [49]
- (4.4) 59 [58], 61 [60], 63 [62]
Nineth week
Material covered:
- 5.1 (Jointly Distributed Random Variables)
- 5.2 (Expected Values,Covariance and Correlation)
- 5.3 (Statistics and their distribution)
Exercises:
- (5.1) 1, 3, 8, 12, 15, 17, 20
- (5.2) 22, 25, 27, 30, 36
- (5.3) 37, 40, 41, 42
Solutions of the graded HW
Tenth week
Material covered:
- 5.4 (The Distribution of the Sample Mean)
- 5.5 (The Distribution of a Linear Combination)
- 6.1 (Some General Concepts of Point Estimation)
Exercises:
- (5.4) 46, 48, 51, 53, 55, 56
- (5.5) 58, 59, 64, 65, 68, 69, 73
- (6.1) 1, 3, 7
Test Preparation Material
Test from previous term: practice test and
solution, test and
solution.
Solutions of the graded HW
Solutions of the graded HW
Eleventh week
Material covered:
- 6.1 (Some General Concepts of Point Estimation)
- 6.2 (Methods of Point Estimation)
Exercises:
- (6.1) 1, 3, 5, 7, 11, 14, 19
- (6.2) 20, 22, 23, 25, 29, 30
Twelfth week
Material covered:
- 7.1 (Basic Properties of Confidence Intervals)
- 7.2 (Large Sample Confidence Interval for the Population Mean and Proportion)
- 7.3 (Interval Based on a Normal Population Distribution)
Exercises:
- (7.1) 1, 2, 4, 5, 8, 11
- (7.2) 12, 15, 18, 24, 26
- (7.3) 28, 29, 32
Last week
Material covered:
- 8.1 (Hypotheses and Test Procedures)
- 8.2 (Tests about a Population Mean)
Exercises:
- (8.1) 3, 5, 8, 11
- (8.2) 15, 19, 23, 25, 26
Final Preparation Material
Test from previous term:
Test from previous term: practice test and
solution, test (NB:
exercise 3 contains a typo, can you find it? It is corrected in the solution set) and
solution.
Final from previos term:practice final and
solution.