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Statistics and Probability
Table of Contents
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Chapter 1 - Introduction to Probability
Sets and Operations
Counting Principle
Combinations and Permutations
Binomial Theorem and Tree Diagrams
Sample Space and Events
Conditional Probability
Chapter 2 - Probability Distributions
Random Variables
Binomial Distribution
The Poisson Distribution
Normal Distribution
Central Limit Theorem
Chapter 3 - Sampling and Estimation Theory
Populations, Samples, and their Parameters
Random Sample, Sampling with/without Replacement
Sampling Distribution, Sample Mean, and Sample Variance
Frequency and Relative Frequency Distribution
Unbiased, Biased, and Point Estimates
Confidence Interval Estimates of Population Parameters
Confidence Interval Estimates of Means, Proportions, and Variance
Analysis of Variance
Chapter 4 - Hypotheses Testing and Level of
Significance
Statistical Hypotheses
Type I and Type II Errors
One Sided and Two Sided Tests for a Given Level of
Significance
Hypotheses Testing for Small and Large Samples
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