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STAT2053 - Probability and Statistics
2019-2020 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; Large-Sample Estimation; Large-Sample 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
[2020-05-18]
Homework-2 is submitted. Please download the dataset (and zipped version) for the homework.
[2020-03-07]
Homework-1 is submitted. Please download the dataset for the homework.
[2020-02-28]
Quiz-1 postponed and will take place on March 9, 2020.
[2020-02-19]
The class will not meet on Feb 21th 2020. Lectures on this date are postponed to Feb 27th, 2020 to be held at MC165 between 16:00-17:50.
[2020-02-04]
A
brief guide on preparing homework deliverables with R.
[2020-02-04]
R statistical tool will be used in lectures and assignments. Please download the recent version from
R website.
[2020-02-04]
Quizzes are scheduled on Monday lectures.
[2020-02-04]
Complete data set for the exercises can be downloaded
here (domain restricted access).
[2020-02-04]
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 |
Quiz-1 |
|
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 |
Quiz-2 |
|
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 |
Quiz-3 |
|
8 |
Midterm |
||
|
9 |
Sampling Distributions
|
Mendenhall Ch.7 |
Assignment 4: |
|
10 |
Large-Sample Estimation |
Mendenhall Ch.8 |
Quiz-4 |
|
11 |
Large-Sample Tests of Hypotheses |
Mendenhall Ch.9 |
Assignment 5: |
|
12 |
Large-Sample Tests of Hypotheses |
Mendenhall Ch.9 |
Quiz-5 |
|
13 |
Inference From Small Samples |
Mendenhall Ch.10 |
Assignment 6: |
|
14 |
The Analysis of Variance |
Mendenhall Ch.11 | Quiz-6 |
|
15 |
Final Exam |
||
Applets (at textbook's website)
R - Statistical Tool
A Short Guide for R