Readers enter a bookshop randomly, with an average interval between consecutive arrival of 2 min. The number of books purchased by each reader can be approximately modelled with a binomial distribution with parameters n = 12, p = 0.01. Work out the mean and variance of the total number of books sold by the bookshop in an hour. Compound poison distribution During peak hours, bus service no. 74 arrives at an average interval of 10 minutes at a certain bus stop. If Betty was to arrive at the bus stop, 3 minutes after the departure of the most recent arrival (of bus service 74), what is the likelihood that Betty has to wait for more than 15 minutes for the next bus arrival. Poisson probability

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