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Construct a probability distribution in Easy Steps

Probability and Statistics > Probability > Construct a probability distribution

 
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Construct a probability distribution: Overview

construct a probability distribution

A normal distribution curve is one kind of probability distribution.


A probability distribution is basically a chart of what the probability of an event happening is. It’s a way of quickly viewing the event, and the probability of that event. Probability distribution charts can get quite complex in statistics. For example, a normal distribution or t-distribution chart usually requires some form of technology (like Microsoft Excel or the TI-83 calculator) to create. However, you can construct a basic probability distribution showing events and probabilities in a few easy steps.

Construct a probability distribution: Steps

Sample question: Construct a probability distribution for the following scenario: the probability of a sausage making machine producing 0, 1, 2, 3, 4, or 5 misshapen sausages per day are 0.09, 0.07, 0.1, 0.04,0.12, and 0.02.

  • Step 1: Write down the number of widgets (things, items, products or other named thing) given on one horizontal line. In this case, the widgets in this question are the “misshapen sausages”.
  • Making the first line of the probability distribution chart.

    Making the first line of the probability distribution chart.

  • Step 2: Directly underneath the first line, write the probability of the event happening.
    • The probability of the sausage machine producing 0 misshapen sausages a day is 0.09. Write “0.09” directly under “0”.
    • The probability of the sausage machine producing 1 misshapen sausages a day is 0.07. Write “0.07” directly under “1”.
    • The probability of the sausage machine producing 2 misshapen sausages a day is 0.1. Write “0.1” directly under “2”.
    • The probability of the sausage machine producing 3 misshapen sausages a day is 0.04. Write “0.04” directly under “3”.
    • The probability of the sausage machine producing 4 misshapen sausages a day is 0.12. Write “0.12” directly under “4”.
    • The probability of the sausage machine producing 5 misshapen sausages a day is 0.02. Write “0.02” directly under “5”.

Probability Distribution
That’s how to Construct a probability distribution!

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If you prefer an online interactive environment to learn R and statistics, this free R Tutorial by Datacamp is a great way to get started. If you're are somewhat comfortable with R and are interested in going deeper into Statistics, try this Statistics with R track.

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Construct a probability distribution in Easy Steps was last modified: October 12th, 2017 by Stephanie

4 thoughts on “Construct a probability distribution in Easy Steps

  1. yvonne walton

    I purchased your book on-line and ran the program but cannot find it anymore it did not create a decktop icon. can you tell me how to do this or when the book will arive. this is strange because i was using it to see how many articles would be possible to find solutions to my statistics problems.

  2. Stephanie

    Yvonne, the original email with the link was good for 3 downloads…try finding the original email and downloading again. If that doesn’t work, the file should be in your downloads folder. If you have Windows, go to My Documents->Downloads. You can also try a Windows search (search for “Practically”).

  3. Sayaka

    Make a table and a histogram showing the probability distribusion for the random variable.

    W=1 if a randomly chosen letter is A, E, I, O, or U and 2 otherwise.

    I have problems with understanding English,
    And I don’t know what the problem means.
    Could anyone please help me?