Question

Exercise 5. There are two types of calls to the UCLA Campus Patrol. Type A calls (distress calls) Poisson process with rate AA. Type B calls (professors who have lost their keys) arrive independent Poisson process with rate Ag. Let us arrive as a fir t to be 12 o'clock as an (1) What is the expected length of the interval that t belongs to? (That is, the interval from the last event before (2) What is the probability that t belongs to an AA interval? (That is, the first event before, well as the first event aftert (3) Let c be a constant. What is the probability that betuween t and t c, we have exactly two events, one of type A, followed by one of type B? t until the first event after t.) as are both of type A.)

Answer 1

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We knoa that The f mula of Poon distnibution is given by PCX- A- T ania aoival A afB betaeen hour an here Minutes fh X faom It should be Jrange