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Q4: Poisson process Buses arrive at a city according to a Poisson process with a rate of 5 per hour. a. What is the probability that no buses arrive between 9 a.m. and 11 a.m. on a randomly selected morning. [4 marks] b. Given three buses have arrived in the first hour, what is the probability that the next bus arrives in the next 1/2 an hour? [4 marks] c. What is the probability that the fifth bus of the day arrives after midday given they start arriving at 9 a.m. [4 marks] d. What is the probability that at most 2 buses arrive in the first hour? [2 marks] [Question total: 14] [Assignment total: 45]]