The demand for seats will exceed the supply of seats. (c)There will be at least one empty seat? (d)Should Kain Air rethink its policy of allowing flights to be overbooked by 2 passengers? 4.Fly Away offers several direct flights from Vancouver to Seattle. Fly Away has a policy of overbooking their planes. Past experience has shown that only 85% of the passengers who purchase a ticket actually show up for the flight. If too many passengers show up for the flight, Fly Away will ask for a volunteer to give up their seat in exchange for a free ticket. 13 passengers have purchased tickets on a flight that has only 12 seats. (a)What is the probability of the flight being exactly75% full? (b)What is the probability that the flight is notfull?5.Suppose 90% of all households with telephone service have voicemail. You are conducting a survey about voicemail usage and you randomly call 10 households. (a)What is the probability that exactly 7 of the households you call have voicemail? (b)What is the probability that the first 7 households have voicemail and the last 3 do not?

OPMT 1130 Myra Andrews, Judy Li Business Statistics Winter 20186.15% of all small business tax returns contain errors. If your take a sample of 10 tax returns, what is the probability that at least 9 returns will NOT contain an error? 7.Bill, the owner of the speciality store Calculators Onlyis planning a promotional offer in hopes of attracting more people into the store. He has 10 coffee mugs with the store’s logo on it and plans to give one to each customer who spends more than $50. On the day of the promotion, 12 people buy something. Past sales data shows that 65% of customers who purchase something spend more than $50. (a)What is the probability Bill will have exactly 3 coffee mugs left at the end of the day? (b)What is the probability that Bill will have enough mugs so that every customer who spends more than $50 will receive a mug? 8.Parks Canada takes 10 reservations per day for hikers beginning the West Coast Trail on the Bamfield trail head. Each hiker must pay a $5 non-refundable reservation fee and then an additional $20 fee when they start the hike. Past experience has shown that only 70% of hikers actually show up to claim their reservation and start the hike. The probability of any one hiker showing up is independent of any other hiker showing up. If Parks Canada takes 10 reservations for a given day: (a)What is the expected revenue for that day? (b)What is the probability exactly 8 hikers will show up? (c)