do all the queries There is a traffic light on a one-way, two-lane road. Two types of cars, Fiat and bmw, arrive at the traffic light according to independent poisson processes with intensities of 1 (Fiat) and 0.5 (bmw) respectively per minute. Fiat always stays in the right lane and always stops at red lights; bmw always drives towards red. The traffic light is green from 10:00 to 10:04, and red from 10:04 to 10:05. Calculate the probability to a) at least one car passes the traffic light between 10:04 and 10:05; (b) exactly 3 cars pass the traffic light between 10:00 and 10:04; (c) no one drives towards red between 10:00 and 10:05, given that a total of 5 cars arrive at the traffic light during this period