59. Cars pass an intersection according to a Poisson process with rate . There are 4 types...
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59. Cars pass an intersection according to a Poisson process with rate
λ. There are 4 types of cars, and each passing car is, independently, type i with probability , .
(a) Find the probability that at least one of each of car types but none of type 4 have passed by time t.
(b) Given that exactly 6 cars of type 1 or 2 passed by time t, find the probability that 4 of them were type 1.
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