Question: Consider a Poisson arrival process with rate per hour. To simplify notation, we let a=P(0,1), b=P(1,1), and c=P(2,1), where P(k,1)is the probability of exactly k

Consider a Poisson arrival process with rate per hour. To simplify notation, we let a=P(0,1), b=P(1,1), and c=P(2,1), where P(k,1)is the probability of exactly k arrivals over an hour-long time interval.

What is the probability that we will have "at most one arrival between 10:00 and 11:00 and exactly two arrivals between 10:00 and 12:00"? Your answer should be an algebraic function of a, b, and c in standard notation.

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