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Suppose the managers at FedEx/Kinkos wish to meet the increasing demand for color photocopies and to have more reliable service. (Refer to Problem 36). As a goal, they would like to have at least a 99.9% chance of being able to furnish a black-and-white copy or a color copy on demand. They also wish to purchase only four copiers. They have asked for your advice regarding the mix of black-and-white and color copiers. Supply them with your advice. Provide calculations and reasons to support your advice.
The Snappy Service gas station manager is thinking about a promotion that she hopes will bring in more business to the full-service island. She is considering the option that when a customer requests a fill-up, if the pump stops with the dollar amount at $19.99, the customer will get the gasoline free. Previous studies show that 70% of the customers require more than $20.00 when they fill up, so would not be eligible for the free gas. What is the probability that a customer will get free gas at this station if the promotion is implemented?