Question: A certain store makes, on average, two sales per hour between 9:00 a.m. and 2:00 p.m., and three sales per hour between 2:00 p.m. and

A certain store makes, on average, two sales per hour between 9:00 a.m. and 2:00 p.m., and three sales per hour between 2:00 p.m. and 9:00 p.m. The numbers of sales in different time periods are independent and have a Poisson distribution. Find: (i) the probability of more than three sales between 10:00 a.m. and noon, and also between 1:00 p.m. and 3:00 p.m. (ii) the probability that the number of sales between 10:00 a.m.

and 11:00 a.m. will be the same as number of sales between 6:00 p.m. and 7:00 p.m.

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