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 1 hour?
(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?
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