Question: 9.3.5 A certain store makes, on average, two sales per hour between 9:00 a.m. and 2:OO p.m., and three sales per hour between 2:OO p.m.

9.3.5 A certain store makes, on average, two sales per hour between 9:00 a.m. and 2:OO p.m., and three sales per hour between 2:OO p.m. and 9:OO 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 1O:OO a.m. and noon, and also between 1:00 p.m. and 3:OO p.m. (ii) The probability that the number of sales between 1O:OO a.m. and 11:OO a.m. will be the same as number of sales between 6:OO p.m. and 7:OO p.m.

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