1) CH Airlines flies directly from Seattle to Portland. CH has a policy of overbooking their flights. They will book 6 passengers for a plane that has only 5 seats. Past experience has shown that only 75% of the passengers who are booked actually show up for the flight. If 6 passengers have booked tickets on this flight, what is the probability that (a) the flight will have enough seats? (b) there will be at least one empty seat? (it is not full) (c) You and your partner show up without a reservation and ask to go standby. What is the probability that the two of you will get a seat on this flight?

2)You operate a bicycle rental shop near Stanley Park during July and August. The number of bikes rented per day depends on the weather. On a warm sunny day you average 35 bike rentals, on a cloudy day you average 15 rentals, and on a day when it rains you average only 5 bike rentals. Based upon historical data you find that typically during the summer, there is 60% chance when it is sunny; 25% chance when it is cloudy and it rains the rest of the time. If you charge $50 per day to rent a bike, how much is your expected revenue per day?