Week

Topics

Study Materials  1

Study Materials  2

1

Introduction to Probability and Statistics. Statistical Experiments. Outcomes. Events. Sample Space. Set Theory.

Textbook1; 2.1, 2.2

Textbook2;
2.1

2

Interpretations and Axioms of Probability. Basic Theorems of Probability. Finite Sample Spaces. Counting Techniques. Multiplication Rule. Permutations. Combinations. Sampling With and Without Replacement.

Textbook1; 2.3, 2.4, 2.5

Textbook2;
2.2, 2.3

3

Independence of Events. Conditional Probability. Bayes’ Theorem.

Textbook1; 2.6, 2.7, 2.8

Textbook2;
2.4, 2.5

4

Discrete Random Variables. Probability Function. Distribution Function. Mean and Variance.

Textbook1; 3.1, 3.2, 4.1 (discrete), 4.2 (discrete),

Textbook2;
3.1, 3.2, 3.3, 3.4

5

Special Discrete Distributions ( Uniform, Bernoulli, Binomial, Hypergeometric,).

Textbook1; 5.1, 5.2, 5.3,

Textbook2;
3.5, 3.6, 3.7

6

Geometric, Negative Binomial, Poisson Distributions

Textbook5.4, 5.5, 56

Textbook2;
3.6, 3.7

7

Continuous Random Variables. Probability Density Function. Review exercises. EXAM I

Textbook1; 3.3, 4.1 (cont.), 4.2 (cont.)

Textbook2;
4.1, 4.2

8

Special Continuous Distributions (Uniform, Normal, Normal Approximation to Binomial, Gamma, Exponential).

Textbook1; 6.1, 6.2, 6.3, 6.4

Textbook2;
4.3, 4.4, 4.5

9

Special Continuous Distributions (Uniform, Normal, Normal Approximation to Binomial, Gamma, Exponential).

Textbook1; 6.5, 66, 6.7

Textbook2;
4.3, 4.4, 4.5

10

Joint, Marginal and Conditional Distributions. Covariance and Correlation. Conditional Mean and Variance. Independence of Random Variables.

Textbook1; 3.4

Textbook2;
5.1, 5.2,

11

Covariance and Correlation. Conditional Mean and Variance. Independence of Random Variables.

Textbook1; Rest of chapter 4

Textbook2; Rest of chapter 4

12

REVIEW PROBLEMS, EXAM II

Textbooks

Textbooks

13

Introduction to Statistics and Data Analysis

Textbook1; Chapter 1 Chapter 8.18.6

Textbook2; Chapter 1

14

Hypothesis Testing

Textbook1; Chapter 10

Textbook2; Chapter 9
