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| Teaching Since: | May 2017 |
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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
Suppose that a failure in a certain electronic system can occur because of either a minor defect or a major defect. Suppose also that 80 percent of the failures are caused by minor defects and 20 percent of the failures are caused by major defects. When a failure occurs, n independent soundings Xl' ···' Xn are made on the system. If the failure was caused by a minor defect, these soundings form a random sample from a Poisson distribution for which the mean is 3. If the failure was caused by a major defect, these soundings form a random sample from a Poisson distribution for which the mean is 7. The cost of deciding that the failure was caused by a major defect when it was actually caused by a minor defect is $400. The .cost of deciding that the failure was caused by a minor defect when it was actual1y caused by a major defect is $2500. The cost of choosing a correct decision is
. For a given set of observed values of Xl" '" XI1• which decision minimizes the expected cost?
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