Syllabus

WEEK TOPICS CHAPTERS
1

Probability : Sample Space, Events, Counting , Probability of an Event, Additive Rules

2.1 - 2.5
2

Conditional Probability, Independence, Product Rules, Bayes’ Rule

2.6 - 2.7
3

Random Variables and Probability Distributions

3.1 - 3.3
4

Joint Probability Distributions

3.4
5

Mathematical Expectation

4.1 - 4.4
6

Discrete Probability Distributions: Binomial and Multinomial Distributions

5.1 - 5.2
7

Discrete Probability Distributions: Hypergeometric Distribution, Negative Binomial

5.3 - 5.4
8

Discrete Probability Distributions : Geometric Distribution, Poisson Distribution

5.5
9

Continuous Probability Distributions : Normal Distribution

6.1 - 6.4
10

Continuous Probability Distributions : Normal Approximation to the Binomial

6.5
11

Continuous Probability Distributions : Gamma and Exponential Distributions

6.6 - 6.7
12

Sampling Distributions : Sample Distribution of Means and The Central Limit Theorem , Sample Distribution of and

8.1 - 8.4
13

One- and Two-Sample Estimation Problems :Statistical Inference, Estimating the Mean, Confidence Intervals, Prediction Intervals, Estimating the Variance

9.1 - 9.4
14

One- and Two-Sample Tests of Hypotheses: General Concepts, Testing a Statistical Hypothesis, Single Sample,Tests Concerning a Single Mean

9.5 - 9.7