Suppose the number of phone calls arriving at an answering service follows a Poisson process with...
Suppose the number of phone calls arriving at an answering service follows a Poisson process with the rate lambda = 60 (or equivalently, the interarrival times are iid exponential random variables with mean 1 minute).
a.) Let T(I,j) denote the time interval from the ith arrival the jth arrival. The correlation between T(10,50) and T(20,60) is equal to ____________.
b.) The correlation between T(0,20) and T(0,60) is equal to ________________.
Homework Answers
ANSWER::
a.)
Let T(I,j) denote the time interval from the ith arrival the jth arrival. The correlation between T(10,50) and T(20,60) is equal to
ANS:: 3/4
b.)
The correlation between T(0,20) and T(0,60) is equal to
ANS:: 
sqrt(1/3)
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