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