Probability: Distribution Models & Continuous Random Variables

Training overview
Professional Course
Self-paced Online
6 weeks
From 49 USD

Start dates
49 USD
Start anytime

Course description

Probability: Distribution Models & Continuous Random Variables

In this statistics and data analysis course, you will learn about continuous random variables and some of the most frequently used probability distribution models including, exponential distribution, Gamma distribution, Beta distribution, and most importantly, normal distribution.

You will learn how these distributions can be connected with the Normal distribution by Central limit theorem (CLT). We will discuss Markov and Chebyshev inequalities, order statistics, moment generating functions and transformation of random variables.

This course along with the recommended pre-requisite,Probability: Basic Concepts & Discrete Random Variables,will you give the skills and knowledge to progress towards an exciting career in information and data science.

The Center for Science of Information, a National Science Foundation Center, supports learners by offering free educational resources in information science.

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Who should attend?


  • Basic Calculus 1 & 2, and Calculus 3 (including an understanding of double integers)
  • Complete this course first:Probability: Basic Concepts & Discrete Random Variables

Training content

Units 1 - 6 are available in "416.1x Probability: Basic Concepts &Discrete Random Variables"

Unit 7: Continuous Random Variables

In this unit, we start from the instruction of continuous random variables, then discuss the joint density/CDF and properties of independent continuous random variables.

Unit 8: Conditional Distributions and Expected Values

Conditional distributions for continuous random variables, expected values of continuous random variables, and expected values of functions of random variables.

Unit 9: Models of Continuous Random Variables

In this unit we will discuss four common distribution models of continuous random variables: Uniform, Exponential, Gamma and Beta distributions.

Unit 10: Normal Distribution and Central Limit Theorem (CLT)

Introduction to Normal distribution and CLT, as well as examples of how CLT can be used to approximate models of continuous uniform, Gamma, Binomial, Bernoulli and Poisson.

Unit 11: Covariance, Conditional Expectation, Markov and Chebychev Inequalities

Unit 12: Order Statistics, Moment Generating Functions, Transformation of RVs

Course delivery details

This course is offered through Purdue University, a partner institute of EdX.

4-6 hours per week


  • Verified Track -$49
  • Audit Track - Free

Certification / Credits

What you'll learn

  • Probability concepts and rules
  • Some of the most widely used probability models with continuous random variables
  • How distribution models we have encountered connect with Normal distribution
  • Advanced probability topics

About edX


edX For Business helps leading companies upskill their labor forces by making the world’s greatest educational resources available to learners across a wide variety of in-demand fields. edX For Business delivers high-quality corporate eLearning to train and engage your employees...

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141 Portland Street
02139 Cambridge Massachusetts

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