An epidemic process is such that an infected individual is infectious for a time period which is exponentially distributed with rate parameter 3. While infectious, the individual gets into contact with susceptible individuals according to a Poisson process with rate parameter X. Let X be the number of susceptible individuals who get into contact with infected individual. The probability generating function of the distribution of X is Select one: O a. O b. 0 с. d. βλ B+A-As B B+A-As e-B(1-8) e -XB(1-8)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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An epidemic process is such that an infected individual is infectious for a
time period which is exponentially distributed with rate parameter 3.
While infectious, the individual gets into contact with susceptible
individuals according to a Poisson process with rate parameter λ. Let X
be the number of susceptible individuals who get into contact with
infected individual. The probability generating function of the
distribution of X is
Select one:
a.
O b.
B
B+λ-As
Oc. e-B(1-s)
-XB(1-8)
βλ
B+λ-As
d.
e
Transcribed Image Text:An epidemic process is such that an infected individual is infectious for a time period which is exponentially distributed with rate parameter 3. While infectious, the individual gets into contact with susceptible individuals according to a Poisson process with rate parameter λ. Let X be the number of susceptible individuals who get into contact with infected individual. The probability generating function of the distribution of X is Select one: a. O b. B B+λ-As Oc. e-B(1-s) -XB(1-8) βλ B+λ-As d. e
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