Covers the probability concepts essential for data science

What you will learn

Be able to describe the basic probability concepts such as mean and variance

Be able to compute the mean and variance of random variables.

Be able to describe concepts such as conditional probability, Bayes rule and statistical independence.

Be able to describe discrete distributions such as geometric, binomial, Poisson.

Description

A strong understanding of probability is critical for becoming a successful data scientist. Probability is a key mathematical concept that is essential for modeling and understanding computer system performance and real-world data generated from day-to- day activities and interactions. In particular areas such as data science, machine learning, natural language processing and computer vision rely heavily on probabilistic models.

This short course in probability is designed to provide the necessary background for learning and understanding machine learning and data science concepts. Specifically, the course will introduce the concept of probability, provide an overview of discrete random variables and describe how to compute expectation and variance. The course will also discuss specific distributions such as geometric, binomial and Poisson distributions. The course includes multiple worked-out examples so that students can appreciate how to apply the concepts learnt in the lectures.


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At the end of the course, students will

  1. Be able to describe the basic probability concepts such as mean, variance, conditional probability, Bayes rule and statistical independence.
  2. Be able to compute the mean and variance of random variables.
  3. Be able to describe discrete and continuous distributions such as geometric, binomial and Poisson
  4. Be able to understand how real-world phenomena can be modeled using probability distributions.
English
language

Content

Introduction

Introduction to probability (part 1)
Introduction to probability (part 2)

Discrete Random Variables

Discrete Random Variables: An introduction
Expectation of a Discrete Random Variable
Variance of a Discrete Random Variable

Expectation, Variance and Conditional Probabaility

Properties of Expectation and Variance
Conditional Probability
Conditional Probability: Simple Example 1
Bayes Rule
Statistical Independence and Independent Random Variables
Find Expectation and Variance: Simple Example

Example of Discrete Random Variables (Bernoulli, Binomial Geometric, Poisson)

Bernoulli and Binomial Random Variables
Binomial Distribution: Simple Example
Geometric Distribution
Poisson Distribution
Poisson Distribution: A Simple Example