Customer arrive at Facility according to a Poisson Distribution at the rate of two an hour, find the following :

A) The average number of customer arriving in an -8hour period.

b) The probability that there will be at least one customer in a 1 hour period.

Probable 5: Customers arrive a restaurant to Poisson Distribution at the reate of 20 per hour, the resurant opens for business at 11:00 am. Find the following : The probability of having 20 customers in the return at 11:12 am. Givin that there were 18 at 11:07 am. The probability of new customer arrive at 11:25 A.M Problem 6: Books are previously order arrive at university library according to a Poisson distribution at the rate of 25 books per day. Each shelf in the stacks can hold 100 biiks.

Determine the following : The expected number of the shelves that will be stacked with new books each month.The probability that more than 10 boks cases will be needed each month given that a book case has five shelves.

Problem : Inventory is withdrawn from a stock 80 items accounting to Poisson distribution at the rate of 5 items a day.: Find the probability that 10 items are withdrawn during the first 2 days. Determine the probability that no times are left at the end of 4 days. Determine the average number of items withdrawn over a 4 days period.

Problem: A machine shop has just stocked 10 spare parts for the repair of machine, Stock replenishments of size 10 pieces each take place every 7 days. The Poisson breakdown of the machine occurs three times a week on the average. Determine the probability that machine will remain broken because of the unavailability of parts for 2 days. For 5 days