Assume that Y denotes the number of bacteria per cubic centimeter in a particular liquid and that Y has a Poisson distribution with parameter A. Further assume that A varies from location to location and has an Exponential distribution with parameter B, where ß is a positive integer. If we randomly select a location, what is the expected number of bacteria per cubic centimeter?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
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3.3 Solve the below problem:
Assume that Y denotes the number of bacteria per cubic centimeter in a particular liquid and
that Y has a Poisson distribution with parameter 2. Further assume that A varies from
location to location and has an Exponential distribution with parameter B, where B is a
positive integer. If we randomly select a location, what is the expected number of bacteria per
cubic centimeter?
Transcribed Image Text:3.3 Solve the below problem: Assume that Y denotes the number of bacteria per cubic centimeter in a particular liquid and that Y has a Poisson distribution with parameter 2. Further assume that A varies from location to location and has an Exponential distribution with parameter B, where B is a positive integer. If we randomly select a location, what is the expected number of bacteria per cubic centimeter?
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