Cars pass a point on the highway at a Poisson rate of one per minute. If 5

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Cars pass a point on the highway at a Poisson rate of one per minute. If 5 percent of the cars on the road are vans, then

(a) what is the probability that at least one van passes by during an hour?

(b) given that ten vans have passed by in an hour, what is the expected number of cars to have passed by in that time?

(c) if 50 cars have passed by in an hour, what is the probability that five of them were vans?

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