Question

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