2. (10 points total) The number of barges passing under a bridge over a period of one day is Poisson distributed with a mean of 24 per day. (a) (5

points) What is the probability that less than 3 barges pass under the bridge in 1hour? (b) (5 points) If 3/4 of the barges are colored red and the remainder are colored blue, what is the probability that 1 red barge and 3 blue barges pass under the bridge in 1 hour?