5. The number of trucks that arrive at a loading dock in t hours follow a Poisson distribution. On the average , three trucks arrive at the dock each hour. a) What is the probability that 2 trucks will arrive at the dock in 15 minutes? b) Suppose a truck has just arrived. What is the probability that at least 45 minutes will lapse until the next truck arrives? c) Suppose a truck has just arrived. What is the probability that at most 1.5 hours will lapse until the next 3 trucks arrive?

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