Cars arrive at the toll booth according to a poison procedure at a rate of three arrivals per minute.
a) Determine the probability that the third car arrives within three minutes of the first car?
b) Of the cars arriving at the booth, it is known that over the long run 60% are Japanese imports. What is the probability that in given 10 minute interval, 15 cars arrive at the booth, and 10 of these are Japanese imports?