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November 25th, 2011, 09:16 PM   #1
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find the expected number

Assume that Y denotes the number of bacteria per cubic centimetre in a particular liquid and that Y has a Poisson distribution with parameter . Further assume that varies from location to location according to a gamma distribution with parameters and , where is a positive integer. If we randomly select a location, what is the

(A) expected number of bacteria per cubic centimetre?
(B) standard deviation of the number of bacteria per cubic centimetre?
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