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About: Continuous Random Variables: The Exponential Distribution

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

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Name: Continuous Random Variables: The Exponential Distribution
ID: m16816
Language: English (en)
Summary: This module introduces the properties of the exponential distribution, the behavior of probabilities that reflect a large number of small values and a small number of high values.
Subject: Mathematics and Statistics
Keywords: continuous, distribution, elementary, exponential, function, random, statistics, variable
License: Creative Commons Attribution License CC-BY 3.0
Authors: Susan Dean (susanldean45@gmail.com), Barbara Illowsky, Ph.D. (illowskybarbara@deanza.edu)
Copyright Holders: Maxfield Foundation (cnx@cnx.org)
Maintainers: Susan Dean (susanldean45@gmail.com), Barbara Illowsky, Ph.D. (illowskybarbara@deanza.edu), Connexions (cnx@cnx.org)
Latest version: 1.15 (history)
First publication date: Jun 6, 2008 9:52 am -0500
Last revision to module: May 27, 2012 1:19 pm -0500

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Version History

Version: 1.15 May 27, 2012 1:19 pm -0500 by Susan Dean
Changes: 
Continuous Random Variables: The Exponential Distribution: Updated notation.
Version: 1.14 Aug 15, 2011 8:39 pm -0500 by Susan Dean
Changes: 
Continuous Random Variables: The Exponential Distribution: Updated glossary item "Exponential Distribution."
Version: 1.13 Oct 12, 2009 6:26 pm -0500 by Susan Dean
Changes: 
Continuous Random Variables: The Exponential Distribution: In Example 3 Problem 1, made the following correction:  P(X > 7) = e^(-1.7) = 0.4966.
Version: 1.12 Feb 20, 2009 7:43 pm -0600 by Susan Dean
Changes: 
Continuous Random Variables: The Exponential Distribution:  Added the glossary item "Exponential Distribution."
Version: 1.11 Feb 20, 2009 7:29 pm -0600 by Susan Dean
Changes: 
Continuous Random Variables: The Exponential Distribution:  Changed k = 16.1 years to Solve for k:  k = ln(1-.80)/(-.1) = 16.1 years.
Version: 1.10 Jan 22, 2009 10:35 pm -0600 by Susan Dean
Changes: 
 Continuous Random Variables: The Exponential Distribution: For Example 2 problem solution, changed the probability question to "P(4<X<5)."
Version: 1.9 Oct 27, 2008 12:51 pm -0500 by James Cooper
Changes: 
roles updated
Version: 1.8 Jul 31, 2008 11:25 am -0500 by Connexions
Changes: 
removed draft note
Version: 1.7 Jul 14, 2008 12:23 pm -0500 by Connexions
Changes: 
image review
Version: 1.6 Jul 14, 2008 9:53 am -0500 by Raymond Wagner
Changes: 
fixed math typos
Version: 1.5 Jul 9, 2008 12:43 pm -0500 by Raymond Wagner
Changes: 
minor punctuation edits
Version: 1.4 Jul 9, 2008 5:27 am -0500 by Connexions
Changes: 
Post review edits
Version: 1.3 Jul 7, 2008 12:24 pm -0500 by Connexions
Changes: 
post review updates
Version: 1.2 Jun 27, 2008 1:49 pm -0500 by Connexions
Changes: 
Roles changed
Version: 1.1 Jun 22, 2008 6:43 pm -0500 by Jonathan Emmons
Changes: 
Initial publication

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The following citation styles comply with the attribution requirements for the license (CC-BY 3.0) of this work:

American Chemical Society (ACS) Style Guide:

Dean, S.; Illowsky, B. Continuous Random Variables: The Exponential Distribution, Connexions Web site. http://cnx.org/content/m16816/1.15/, May 27, 2012.

American Medical Assocation (AMA) Manual of Style:

Dean S, Illowsky B. Continuous Random Variables: The Exponential Distribution [Connexions Web site]. May 27, 2012. Available at: http://cnx.org/content/m16816/1.15/.

American Psychological Assocation (APA) Publication Manual:

Dean, S., & Illowsky, B. (2012, May 27). Continuous Random Variables: The Exponential Distribution. Retrieved from the Connexions Web site: http://cnx.org/content/m16816/1.15/

Chicago Manual of Style (Bibliography):

Dean, Susan, and Barbara Illowsky. "Continuous Random Variables: The Exponential Distribution." Connexions. May 27, 2012. http://cnx.org/content/m16816/1.15/.

Chicago Manual of Style (Note):

Susan Dean and Barbara Illowsky, "Continuous Random Variables: The Exponential Distribution," Connexions, May 27, 2012, http://cnx.org/content/m16816/1.15/.

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

Dean, S., & Illowsky, B. 2012. Continuous Random Variables: The Exponential Distribution. Connexions, May 27, 2012. http://cnx.org/content/m16816/1.15/.

Modern Languages Association (MLA) Style Manual:

Dean, Susan, and Barbara Illowsky. Continuous Random Variables: The Exponential Distribution. Connexions. 27 May 2012 <http://cnx.org/content/m16816/1.15/>.