aug22p - EXAM P QUESTIONS OF THE WEEK S Broverman 2005...

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EXAM P QUESTIONS OF THE WEEK S. Broverman, 2005 Question 5 - Week of August 22 Smith is a quality control analyst who uses the exponential distribution with a mean of 10 years as the model for the exact time until failure for a particular machine. Smith is really only interested in the integer number of years, say , until the machine fails, so if failure is within the \ first year, Smith regards that as 0 (integer) years until failure, and if the machine does not fail during the first year but fails in the second year, the Smith regards that as 1 (integer) year until failure, etc. Smith's colleague Jones, who is also a quality control analyst reviews Smith's model for the random variable and has two comments: \ (i) has a geometric distribution, and \ (ii) the mean of is 10. \ Determine which, if any, of the statements made by Jones are true? The solution can be found below.
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Question 5 Solution We denote by the exponential distribution with a mean of 10, [ so the pdf of is [0 Ð A Ñ œ Þ [ / "!
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This note was uploaded on 03/29/2010 for the course STATISTICS 50 taught by Professor Diaz during the Spring '10 term at California State University , Monterey Bay.

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aug22p - EXAM P QUESTIONS OF THE WEEK S Broverman 2005...

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