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(Solved): Let {x(t),t>=0} and {Y(t),t>=0} be independent Poisson processes with respective parameters \l ...



Let {x(t),t>=0} and {Y(t),t>=0} be independent Poisson processes with respective parameters \lambda and \mu . For a fixed integer a, let 0;Y(t)=1 be the random time of the first event in the Y process. Determine P(x((T)/(2))=k) for k=0,1,2,dots


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