suppose that cars arrive at a traffic light according to a Poisson process with a rate of one car per minute starting from t=0 minutes.

suppose that cars arrive at a traffic light according to a Poisson process with a rate of one car per minute starting from t=0 minutes. Determine (a) the probability that no cars arrive in the first two minutes(b) the probability that no cars arrive ever.(c) the probability that exactly one car arrives in the first minute.(d) the probability that the second car arrives within 10 seconds of the first car.(e) the probability that the second car takes more than two minutes to arrive.