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Exercise: The sum of Poisson r.v.'s 1 point possible (graded) Consider a Poisson process with rate...

Exercise: The sum of Poisson r.v.'s

1 point possible (graded)

Consider a Poisson process with rate λ=1. Consider three times that satisfy 0<t1<t2<t3. Let M be the number of arrivals during the interval [0,t2]. Let N be the number of arrivals during the interval [t1,t3]. Is the random variable M+N guaranteed to be Poisson?

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