# Statistics

## Collection of Stats notes and Homework (example problems)

• I followed along with Professor Leonard Statistics Lectures on Youtube. I use to watch his Calculus 1-3 in undergrad, one of the best Professors for math on the internet!

• I also used the book Probability and Statistics for Engineering and the Sciences

• Statistics is probabaly the most important math that is useful for any engineering or business job/career

### Chapter One: Descriptive Stats

• mean/median/mode

Notes on Descriptive Stats

### Chapter Two: Frequency Distribution and Histograms

• Histograms
• Relative Frequency

Notes on Frequency Distribution and Histograms

### Chapter Three: Discrete Random Variables and Probability Distributions

• Given an experiment and a sample space S, the objective of probability is to assign to each event A a number P(A), called the probability of the event A, which will give a precise measure of the chance the A will occur.

• Random Variables
• Binomial Probability Distribution

Notes on Probabilty

### Chapter Four: Continuous Random Variables and Probability Distributions

• Standard Normal Distribution
• Z-Scores (Standard Score)
• Central Limit Theorem

Notes on Continuous Random Variables

### Chapter Seven: Confidence Intervals

• Confidence interval for sample mean, population standard deviation -KNOWN
• Confidence interval for sample mean, population standard deviation -UNKNOWN
• Confidence interval for Variance and Standard Deviation Chi-Squared Distribution

Notes on Confidence Intervals

### Chapter Eight: Tests of Hypotheses Based on a Single Sample

Notes on Hypotheses Tests

### Homework/Example Problems

Chapter One Homework

Chapter Two Homework

Chapter Three Homework

Chapter Four Homework

Chapter Five Homework

Chapter Six Homework

Chapter Seven Homework

Chapter Eight Homework