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STAT2053  Probability and Statistics
20182019 Spring
Introduction to Probability, Basic Definitions, Axioms of Probability and
Combinatorial Concept; Describing Data With Graphs; Describing Data With
Numerical Measures, Describing Bivariate Data; Conditional Probability and
Independence; Probability and Probability Distributions; Discrete Random
Variables and Probability Distributions; Continuous Random Variables and
Probability Distributions; The Normal Probability Distribution; Jointly
Distributed Random Variables; Expected Values, Covariance and Correlation;
Sampling Distributions; LargeSample Estimation; LargeSample Tests of
Hypotheses; Inference From Small Samples, The Analysis of Variance (ANOVA).
Textbooks
Essential Text:
(1) Mendenhall, Beaver, Beaver, Introduction to Probability and Statistics, 14th Ed., Brooks/Cole, Cengage Learning, 2013
Recommended:
(2) Walpole, Myers, Myers, Ye, Essentials of Probability and Statistics for Engineers and Scientists, Pearson Education, 2013
(3) Sheldon Ross, A First Course in Probability, 9th Ed., Pearson, 2013/2014
[20190130]
A
brief guide on preparing homework deliverables with R.
[20190130]
R statistical tool will be used in lectures and assignments. Please download the recent version from
R website.
[20190130]
Quizzes are scheduled on Monday lectures.
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Complete data set for the exercises can be downloaded
here (domain restricted access).
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Attendance is required at all class meetings.
Week 
Lectures 
Readings 
Assignments 
1 

Mendenhall Ch.1 

2 
Describing Data With Graphs

Mendenhall Ch.1 
Assignment 1:

3 
Describing Data With Numerical Measures,
Describing Bivariate Data

Mendenhall Ch.2 and Ch.3 
Quiz1 
4 
Conditional Probability and Independence 
Mendenhall Ch.4 
Example for Bayes Theorem
Assignment 2: 
5 
Probability and Probability Distributions
Jointly Distributed Random Variables
Expected Values, Covariance and Correlation 
Mendenhall Ch.3 
Quiz2 
6 
Discrete Random Variables and Probability Distributions 
Mendenhall Ch.5 
Assignment 3: 
7 
Continuous Random Variables and Probability Distributions
The Normal Probability Distribution 
Mendenhall Ch.6 
Quiz3 
8 
Midterm 

9 
Sampling Distributions

Mendenhall Ch.7 
Assignment 4: 
10 
LargeSample Estimation 
Mendenhall Ch.8 
Quiz4 
11 
LargeSample Tests of Hypotheses 
Mendenhall Ch.9 
Assignment 5: 
12 
LargeSample Tests of Hypotheses 
Mendenhall Ch.9 
Quiz5 
13 
Inference From Small Samples 
Mendenhall Ch.10 
Assignment 6: 
14 
The Analysis of Variance 
Mendenhall Ch.11  Quiz6 
15 
Final Exam 
Applets (at textbook's website)
R  Statistical Tool
A Short Guide for R