Suppose busses arrive at the bus stop exactly every 15 minutes and I turn up at the bus stop at a random time without checking my watch. Let X be the amount of time I wait before the bus arrives. 5 marks (a) State the distribution of X, with it's parameter(s). (b) Find the probability I wait between 5 and 8 minutes. (c) The bus ride is part of my daily commute, and I never check the time... What is the probability the average length of time I wait over the next 60 days is between 7 and 8 minutes.