Let x(t) be a Poisson process with arrival rate a) Find the probability that x(t) has at least…

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Let x(t) be a Poisson process with arrival rate

a) Find the probability that x(t) has at least two arrivals in the interval (t1, t3) and exactly one of them lies in (t2, t3), where t1 = 3 s, t2 = 4 s, t3 = 6 s.

b) With  three consecutive and ordered arrival times for x(t), find the probability

 

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