Question: Give the correct answer by using the Poisson Distribution for each of the following,:

1. The Prescott First/Last/Only City Bank knows that on Saturday morning the average number of customers who come in at any given teller is 15. What is the probability that between 8 and 12 customers will come to any given teller during any given hour on Saturday morning?
2. The Prescott County Tax Assessor, Herb Epson, knows that during tax season his " girls " (Yes, he is a chauvinist.) can process some 50 payments per day. What is the probability that his " girls " can process 65 payments per day?
3. The Prescott Glass factory produces windshields for commercial trucks. Marty Crystal, the general manager is worried about the number of defects in the windshields that he produces. Marty said, " We are starting to see too many defects in our windshields – any more than average and something around here is going to get broken !" If the average number of defects is 3.4 per windshield, what is the probability that six randomly sampled windshields will each have 6 or fewer defects?
4. The Prescott Community College’s booster club sells hot dogs at the Fighting Orangutan’s home football games (" Go big Orange and Furry " - you should see the cheerleaders!). They know that between 1:00 p.m. and 3:00 p.m. on home game days they will sell 75 hot dogs per hour. What is the probability that a hot dog vendor with his cart will run out of hot dogs over this time (2 hours) if he/she only stocks his cart with 120 hot dogs?

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