一点不卡视频观看一区_一点都不卡的中文视频_中文字幕一本到无线_2017中文字字幕一本

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Random Variables & Distributions

The essential quantitative tools of chance.

Random variables and their distributions are the best tools we have for quantifying and understanding unpredictability. This course covers their essential concepts as well as a range of topics aimed to help you master the fundamental mathematics of chance.

一点不卡视频观看一区_一点都不卡的中文视频_中文字幕一本到无线_2017中文字字幕一本Upon completing this course, you'll have the means to extract useful information from the randomness pervading the world around us.

Interactive
quizzes

28

Concepts and
exercises

270+
  1. 1

    Introduction

    What makes a variable random?

    1. Random Variables

      How do you quantify chance in a dicey world?

    2. Distributions

      Get a glimpse of how probabilities for random variables are computed.

    3. Random Variable Applications

      一点不卡视频观看一区_一点都不卡的中文视频_中文字幕一本到无线_2017中文字字幕一本Explore some of the many real-world uses of random variables.

  2. 2

    Discrete Random Variables

    The language of random variables: independence, distributions, and more.

    1. Included with
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      Definition

      What is a discrete random variable?

    2. Included with
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      Density Functions

      一点不卡视频观看一区_一点都不卡的中文视频_中文字幕一本到无线_2017中文字字幕一本Learn the process for assigning probabilities to random variables.

    3. Included with
      Brilliant Premium

      Joint Distributions

      Tackle problems with two uncertain quantities.

  3. 3

    Expected Value

    Know what outcome to expect when you're dealing with randomness.

    1. Included with
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      Expected Value Definition and Properties

      Use averages to make predictions about random events.

    2. Included with
      Brilliant Premium

      Expected Value Calculations

      一点不卡视频观看一区_一点都不卡的中文视频_中文字幕一本到无线_2017中文字字幕一本Gain hands-on experience with expectation value by exploring real-world applications.

    3. Included with
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      Conditional Expectation

      Practice refining your expectations based on new information.

    4. Included with
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      Linearity of Expectation

      Explore the most important feature of the expected value.

  4. 4

    Variance

    It's the mathematical way to describe how erratic your random variable is.

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      Variance Definition and Properties

      Develop an important means for assessing expected values.

    2. Included with
      Brilliant Premium

      Variance and Standard Deviation

      一点不卡视频观看一区_一点都不卡的中文视频_中文字幕一本到无线_2017中文字字幕一本Calculate the spread of possibilities for a range of real-world scenarios.

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      Covariance

      Learn how to measure how two variables influence each other.

  5. 5

    Discrete Distributions

    Use these models to connect the theory to the real-world.

    1. Included with
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      Uniform Discrete Distribution

      In this type of distribution, all outcomes are equally likely.

    2. Included with
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      Bernoulli Distribution

      一点不卡视频观看一区_一点都不卡的中文视频_中文字幕一本到无线_2017中文字字幕一本Investigate what surveys and coin flips have in common.

    3. Included with
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      Binomial Distribution

      Apply the technique of Bernoulli trials to challenging probability problems.

    4. Included with
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      Geometric Distribution

      Discover what it means for a distribution to have "no memory."

  6. 6

    Continuous Random Variables

    When the world gets continuous, calculus meets probability.

    1. Included with
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      Definition

      一点不卡视频观看一区_一点都不卡的中文视频_中文字幕一本到无线_2017中文字字幕一本Understand what it means for a random variable to have uncountably many outcomes.

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      Brilliant Premium

      Density Functions

      Extend the rules of probability to the infinite.

    3. Included with
      Brilliant Premium

      Joint Distributions

      一点不卡视频观看一区_一点都不卡的中文视频_中文字幕一本到无线_2017中文字字幕一本Make sense of the uncertainty in two continuous random variables.

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      Expected Value and Variance

      Calculate predictions for uncountable outcomes and learn how to judge their accuracy.

  7. 7

    Continuous Distributions

    Model heights, stocks, or just about anything else with these distributions.

    1. Included with
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      Normal Distribution

      Learn about a type of continuous distribution that you see pop up everywhere!

    2. Included with
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      Exponential Distribution

      Discover why there's a common distribution for radioactivity and for winning the lottery.

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      Gamma Distribution

      一点不卡视频观看一区_一点都不卡的中文视频_中文字幕一本到无线_2017中文字字幕一本Explore a distribution used by insurance companies the world over.

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      Log-Normal Distribution

      Learn to model stock market fluctuations in a simple way.