# Learn Probability and Statistics for Data Science From Scratch

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By this book you will cover this topic:

Fundamentals of Probability

• Theoretical Approaches
• A More Intuitive Approach
• Our Definitions
• Bus Ridership Model
• Aloha Network
• Aloha Network Model Summary
• Aloha Network Computations
• Aloha in the Notebook Context
• A Simple Board Game

Functions

• Discrete Random Variables
• Random Variables
• Discrete Random Variables
• The Monty Hall Problem
• Expected Value
• Misnomer
• Bus Ridership
• Predicting Product Demand
• Expected Values via Simulation

The Gamma Family of Distributions
Density and properties
Network Buffer
Importance in modeling
The Beta Family of Distributions

• Density etc
• Importance in Modeling

Mathematical Complements

• Hazard Functions
• Duality of the Exponential Family with the Poisson
• Family

Computational Complements

•  R’s integrate() Function
• Inverse Method for Sampling from a Density
• Sampling from a Poisson Distribution

Cumulative Distribution Functions

• CDFs
• Non-Discrete, Non-Continuous Distributions

Density Functions

• Properties of Densities
• Intuitive Meaning of Densities
• Expected Values
• A First Example

Famous Parametric Families of Continuous Distributions

• The Uniform Distributions
• Density and Properties
• R Functions
• Modeling of Disk Performance
• Modeling of Denial-of-Service

The Normal Family of Continuous Distributions

• Importance in Modeling
• The Exponential Family of Distributions
Density and Properties
• R Functions
• Garage Parking Fees
• Memoryless Property of Exponential Distributions
• Importance in Modeling