Demand for an item occurs according to a Poisson distribution with mean 3 per day. The maximum
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Demand for an item occurs according to a Poisson distribution with mean 3 per day.
The maximum stock level is 25 items, which occurs on each Monday immediately after a new order is received. The order size depends on the number of units left at the end of the week on Saturday (business is closed on Sundays). Determine the following:
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(a) The average weekly size of the order.
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(b) The probability of shortage at the start of business on Friday.
(c) The probability that the weekly order size exceeds 10 units.
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