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Question: Consider the situation of Mr. R. B.


Consider the situation of Mr. R. B. Cheney, who owns a large gas station on a highway in Vermont. In the afternoon hours, there are, on average, 1,000 cars per hour passing by the gas station, of which 2 percent would be willing to stop for refueling. How- ever, since there are several other gas stations with similar prices on the highway, potential customers are not willing to wait and bypass Cheney’s gas station.
The gas station has six spots that can be used for filling up vehicles and it takes a car, on average, five minutes to free up the spot again (includes filling up and any potential delay caused by the customer going inside the gas station).
a. What is the probability that all six spots are taken?
b. How many customers are served every hour?


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> Geoff Gullo owns a small firm that manufactures “Gullo Sunglasses.” He has the opportunity to sell a particular seasonal model to Land’s End. Geoff offers Land’s End two purchasing options: ∙ Option 1. Geoff offers to set his price at $65 and agrees to c

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> Weekday lunch demand for spicy black bean burritos at the Kiosk, a local snack bar, is approximately Poisson with a mean of 22. The Kiosk charges $4.00 for each burrito, which are all made before the lunch crowd arrives. Virtually all burrito customers a

> Four partners in a big consulting firm try to estimate the number of new recruits needed for the next year. Their forecasts are 32, 44, 21, and 51, respectively. What would be the result of a simple forecast combination? [13.6]

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> Tom’s Towing LLC operates a fleet of tow trucks that it sends to help drivers in need on the nearby highway. The numbers of calls requesting a tow truck for Monday, Tuesday, Wednesday, and Thursday were 27, 18, 21, and 15, respectively. What would be its

> Tom’s Towing LLC operates a fleet of tow trucks that it sends to help drivers in need on the nearby highway. The numbers of calls requesting a tow truck for Monday, Tuesday, Wednesday, and Thursday were 27, 18, 21, and 15, respectively. What would be its

> Jim and John run a barber shop. Every night, both of them predict how many guests will come on the next day. Over the last four days, they have collected some data about their predictions and the actual outcome. Jim predicts the number of guests to be 56

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