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STAT2053 - Probability and Statistics

2019-2020 Spring

#### [ Topics| Course Material| Course Schedule| Resources | Announcements ]

Topics

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).

Course Material

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

Announcements

[2020-02-04]         A brief guide on preparing homework deliverables with R.

[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. For excused absences, the student must provide an explanation to the instructor and supply supporting evidence.

Course Schedule

• Lectures: Monday 09:30-10:20 (MC165) | Friday 10:30-12:20 (MC165)

 Tentative Schedule Week Lectures Readings Assignments 1 Introductory Information (2pp) ⁄ (6pp)   Introduction to Probability, Basic Definitions, Axioms of Probability and Combinatorial Concept Mendenhall Ch.1 2 Describing Data With Graphs Slides (2pp) ⁄ (6pp) Sample Questions and Answers Mendenhall Ch.1 Assignment 1: 3 Describing Data With Numerical Measures, Slides (2pp) ⁄ (6pp) Describing Bivariate Data Slides (2pp) ⁄ (6pp) Describing Bivariate Data in Excel Mendenhall Ch.2 and Ch.3 Quiz-1 4 Conditional Probability and Independence Slides (2pp) ⁄ (6pp) Mendenhall Ch.4 Example for Bayes Theorem Assignment 2: 5 Probability and Probability Distributions Slides (2pp) ⁄ (6pp) Jointly Distributed Random Variables Expected Values, Covariance and Correlation Mendenhall Ch.3-6 Quiz-2 6 Discrete Random Variables and Probability Distributions Slides (2pp) ⁄ (6pp) Mendenhall Ch.5 Assignment 3: 7 Continuous Random Variables and Probability Distributions The Normal Probability Distribution Slides (2pp) ⁄ (6pp) Mendenhall Ch.6 Quiz-3 8 Midterm 9 Sampling Distributions Slides (2pp) ⁄ (6pp) Mendenhall Ch.7 Assignment 4: 10 Large-Sample Estimation Slides (2pp) ⁄ (6pp) Mendenhall Ch.8 Quiz-4 11 Large-Sample Tests of Hypotheses Slides (2pp) ⁄ (6pp) Mendenhall Ch.9 Assignment 5: 12 Large-Sample Tests of Hypotheses Slides (2pp) ⁄ (6pp) Mendenhall Ch.9 Quiz-5 13 Inference From Small Samples Slides (2pp) ⁄ (6pp) Mendenhall Ch.10 Assignment 6: 14 The Analysis of Variance Slides (2pp) ⁄ (6pp) Mendenhall Ch.11 Quiz-6 15 Final Exam

Resources

Applets (at textbook's website)

R - Statistical Tool

A Short Guide for R