## How to construct a probability distribution

Constructing a probability distribution is easy. This how to article will guide you through the steps of creating probability distributions.

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” given on one horizontal line.
In this case, we have “misshapen sausages”.
• Step 2: Directly underneath the first line, write the result of the given function.
For example, the probability of the sausage machine producing 0 misshapen sausages a day is 0.09, so write “0.09″ directly under “0″.

That’s it!

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## 11 Responses to “How to construct a probability distribution”

1. ### How to Do Everything Statistics » How to find the mean:probability distribution or binomial distribution said:

Aug 24, 09 at 11:29 am

[...] Step 2: Construct a probability distribution table. (If you don’t know how to do this, see this article on constructing a probability distribution). [...]

2. ### How to Do Everything Statistics » Standard deviation: binomial distribution said:

Aug 26, 09 at 1:52 pm

[...] Step 3:  Make a probability distribution chart. [...]

3. ### Lisa Barcomb said:

Sep 24, 09 at 6:33 pm

This blog is alittle complicated I had problems with this on the homework. For some reason I did not get the jest of the table until I did it several times. I wish it could be alittle more understanding then what it is. I felt like I need more examples.

4. ### Brian Hicks said:

Sep 27, 09 at 9:59 am

I agree. The practice problems in the book asked us to construct probability distribution tables without giving the individual probabilities. It was very vague and the examples (p. 40-41 examples 4 & 5) did not correlate to the practice problems (p.42 #2 & 3).

5. ### Christine Woll said:

Sep 27, 09 at 1:37 pm

I understand how to make a probability distribution when the numbers are given, what I’m not understanding is how to create a probability distribution when p(x) is not given. Like in the book Example 3a asks us to construct a probability distribution for the number of boys in a family with 4 children. When I try the equation p(x)=(1/2)^x it doesnt seem to work out to equal 1. I’m still confused :(

6. ### Christine Woll said:

Sep 27, 09 at 4:26 pm

Scratch that, I went on to do the homework and everything was gravy. This stuff isn’t too bad! I like the blog, it tends to explain things a lot better than the book does.

7. ### Lisa Barcomb said:

Nov 08, 09 at 9:58 pm

The probability questions to me are alittle hard to understand. I think maybe I am reading more into them then need to be. But they are not my favorite questions by no means. Everyone has something they are better in doing then others and this is not mine. I wish it was.

8. ### yvonne walton said:

Apr 27, 10 at 8:36 pm

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.

9. ### Stephanie said:

Apr 28, 10 at 4:36 am

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”).

10. ### Sayaka said:

Apr 30, 11 at 12:20 pm

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.