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# About: Continuous Random Variables: The Uniform Distribution

Module by: Susan Dean, Barbara Illowsky, Ph.D.. E-mail the authors

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 Name: Continuous Random Variables: The Uniform Distribution ID: m16819 Language: English (en) Summary: Continuous Random Variable: Uniform Distribution is part of the collection col10555 written by Barbara Illowsky and Susan Dean. It describes the properties of the Uniform Distribution with contributions from Roberta Bloom. Subject: Mathematics and Statistics Keywords: continuous, distribution, elementary, function, probability, random, statistics, uniform, variable License: Creative Commons Attribution License CC-BY 3.0 Authors: Copyright Holders: Maintainers: Latest version: 1.17 (history) First publication date: Jun 5, 2008 9:38 am +0000 Last revision to module: May 25, 2012 10:23 am +0000

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## Version History

 Version: 1.17 May 25, 2012 10:23 am +0000 by Changes: `Continuous Random Variables: The Uniform Distribution: Updated notation. Changed Example 4.` Version: 1.16 Aug 15, 2011 8:15 pm +0000 by Changes: `Continuous Random Variables: The Uniform Distribution: Updated the glossary item "Uniform Distribution."` Version: 1.15 Jun 22, 2011 11:42 am +0000 by Changes: `Continuous Random Variables: The Uniform Distribution: Added Example 5.` Version: 1.14 Feb 20, 2009 7:18 pm +0000 by Changes: `Continuous Random Variables: The Uniform Distribution: Added the uniform density function f(X) = 1/(b-a), a <= X <= b. Replaced k = 16.1 with Solve for k: k = ln(1-.80)/-.01 = 16.1 years. ` Version: 1.13 Feb 20, 2009 10:12 am +0000 by Changes: `Continuous Random Variables: The Uniform Distribution: Corrected exclusive inequalities of the form a < X < b to be of the inclusive form a <= X <= b. Updated glossary item.` Version: 1.12 Jan 22, 2009 10:25 pm +0000 by Changes: `Continuous Random Variables: The Uniform Distribution: In the Student learning Objectives (first bullet), changed "distribution" to "density." In the example about an 8 month-old baby's smiling times, described the histogram that could be constructed from the sample as an empirical distribution that closely matches the theoretical uniform distribution. Rearranged Example 4 to make it clearer. Added the sentence "The distribution in the previous problem is an example of the uniform probability distribution" to the beginning of the module.` Version: 1.11 Oct 27, 2008 12:46 pm +0000 by Changes: `roles updated` Version: 1.10 Aug 20, 2008 11:09 am +0000 by Changes: `Corrected errors (see m17360 for details)` Version: 1.9 Jul 31, 2008 11:24 am +0000 by Changes: ```removed draft notice ``` Version: 1.8 Jul 14, 2008 1:04 pm +0000 by Changes: `fixed math typo, replaced old example reference with a ` Version: 1.7 Jul 14, 2008 12:38 pm +0000 by Changes: `image review` Version: 1.6 Jul 9, 2008 3:05 pm +0000 by Changes: `table correction` Version: 1.5 Jul 9, 2008 12:40 pm +0000 by Changes: `minor punctuation edits` Version: 1.4 Jul 9, 2008 5:10 am +0000 by Changes: `Post review edits` Version: 1.3 Jul 7, 2008 12:24 pm +0000 by Changes: `post review updates` Version: 1.2 Jun 27, 2008 1:47 pm +0000 by Changes: `Roles changed` Version: 1.1 Jun 22, 2008 6:46 pm +0000 by Changes: `Initial publication`

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### American Chemical Society (ACS) Style Guide:

Dean, S.; Illowsky, B. Continuous Random Variables: The Uniform Distribution, OpenStax-CNX Web site. http://cnx.org/content/m16819/1.17/, May 25, 2012.

### American Medical Assocation (AMA) Manual of Style:

Dean S, Illowsky B. Continuous Random Variables: The Uniform Distribution [OpenStax-CNX Web site]. May 25, 2012. Available at: http://cnx.org/content/m16819/1.17/.

### American Psychological Assocation (APA) Publication Manual:

Dean, S., & Illowsky, B. (2012, May 25). Continuous Random Variables: The Uniform Distribution. Retrieved from the OpenStax-CNX Web site: http://cnx.org/content/m16819/1.17/

### Chicago Manual of Style (Bibliography):

Dean, Susan, and Barbara Illowsky. "Continuous Random Variables: The Uniform Distribution." OpenStax-CNX. May 25, 2012. http://cnx.org/content/m16819/1.17/.

### Chicago Manual of Style (Note):

Susan Dean and Barbara Illowsky, "Continuous Random Variables: The Uniform Distribution," OpenStax-CNX, May 25, 2012, http://cnx.org/content/m16819/1.17/.

### Chicago Manual of Style (Reference, in Author-Date style):

Dean, S., & Illowsky, B. 2012. Continuous Random Variables: The Uniform Distribution. OpenStax-CNX, May 25, 2012. http://cnx.org/content/m16819/1.17/.

### Modern Languages Association (MLA) Style Manual:

Dean, Susan, and Barbara Illowsky. Continuous Random Variables: The Uniform Distribution. OpenStax-CNX. 25 May 2012 <http://cnx.org/content/m16819/1.17/>.