# Stat 2122 Course Outline

Check with your instructor for the class syllabus, exam schedules and textbook information.

Stat2122: INTRODUCTION TO PROBABILITY AND STATISTICS

Lecture                   Topic

1                         Introduction;  Probability; Events

2                         Combination of Events

3                        Conditional Probability;   Probability of Intersections

4                        Posterior Probability

5                       Counting Techniques; Discrete Random Variables

6                       Continuous Random Variables

7                       Expectation of Random Variables

8                      REVIEW / TEST 1

9                      Variance of Random Variables;  Jointly Distributed Random Variables

10                     Functions of Random Variables

11                      Binomial Distribution;    Hypergeometrical Distribution

12                     Poisson Distribution

13                     Uniform Distribution;   Exponential Distribution

14                     Normal Distribution;    Linear Combination of Normal Distributions

15                     Approximating Distributions by Normal Ones, CLT

16                     Distributions Related to Normal Ones:

17                     Lognormal, Chi-Square, t-, F-Distributions, Multivariate Normal Distribution

18                    REVIEW/TEST 2

19                    Samples;  Data Representation (Histograms, etc.)

20                    Sample Statistics (Mean, Variance, etc.)

21                    Point Estimates;   Properties of Point Estimates

22                    Sampling Distribution;  Constructing Point Estimates

23                    Confidence Intervals

24                    Hypothesis Testing

25                    Summary

26                    REVIEW/TEST 3

27                    Comparing Two Population Means;  Paired Samples

28                    Independent Samples

29                    Inference on Population Preparation

30                    Linear Regression Model;  Linear Regression Line

31                    Hypothesis Testing for the Slope;  Coefficients of Determination and Correlation