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ERIC Number: EJ1014582
Record Type: Journal
Publication Date: 2013-May
Pages: 10
Abstractor: As Provided
Reference Count: N/A
ISBN: N/A
ISSN: ISSN-0746-8342
System Lifetimes, The Memoryless Property, Euler's Constant, and Pi
Agarwal, Anurag; Marengo, James E.; Romero, Likin Simon
College Mathematics Journal, v44 n3 p210-219 May 2013
A "k"-out-of-"n" system functions as long as at least "k" of its "n" components remain operational. Assuming that component failure times are independent and identically distributed exponential random variables, we find the distribution of system failure time. After some examples, we find the limiting distribution of system life when "n" approaches infinity, and apply these results to evaluate two challenging integrals.
Mathematical Association of America. 1529 Eighteenth Street NW, Washington, DC 20036. Tel: 800-741-9415; Tel: 202-387-5200; Fax: 202-387-1208; e-mail: maahq@maa.org; Web site: http://www.maa.org/pubs/cmj.html
Publication Type: Reports - Descriptive; Journal Articles
Education Level: Higher Education; Postsecondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A