Assume that the number of signals sent over a communication system follows a nonhomogeneous (inhomo- geneous) Poisson process with an intensity function given by A(t) = 100/(t +1). The units of time are in minutes. Assume that X is a random variable for the total number of signals sent over the communication system in the first 10 minutes, and Y is the total number of signals sent over the communication system in minutes 15 to 20. What is the distribution of X +Y?

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Assume that the number of signals sent over a communication system follows a nonhomogeneous (inhomo-
geneous) Poisson process with an intensity function given by
A(t) = 100/(t +1).
The units of time are in minutes. Assume that X is a random variable for the total number of signals sent
over the communication system in the first 10 minutes, and Y is the total number of signals sent over the
communication system in minutes 15 to 20. What is the distribution of X +Y?
Transcribed Image Text:Assume that the number of signals sent over a communication system follows a nonhomogeneous (inhomo- geneous) Poisson process with an intensity function given by A(t) = 100/(t +1). The units of time are in minutes. Assume that X is a random variable for the total number of signals sent over the communication system in the first 10 minutes, and Y is the total number of signals sent over the communication system in minutes 15 to 20. What is the distribution of X +Y?
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