An airline offers discounted "advance-purchase" fares to customers who buy tickets more than 30 days before travel and charges "regular" fares for tickets purchased during those last 30 days. The company has noticed that 50% of its customers take advantage of the advance-purchase fares. The "no-show" rate among people who paid regular fares is 30%, but only 5% of customers with advance-purchase tickets are no-shows. Complete parts a through c below. a) What percent of all ticket holders are no-shows? The percentage is %. (Type an integer or a decimal. Do not round.) b) What's the probability that a customer who didn't show had an advance-purchase ticket? The probability is (Round to four decimal places as needed.) c) Is being a no-show independent of the type of ticket a passenger holds? Explain. Choose the correct answer below. O A. No, because a passenger may have both types of tickets. O B. No, because the likelihood of being a no-show is different for each type of passenger. OC. Yes, because the likelihood of being a no-show is identical for both types of passengers. O D. Yes, because each passenger can only have an advance-purchase or regular purchase ticket.

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An airline offers discounted "advance-purchase" fares to customers who buy tíckets more than 30 days before travel and charges "regular fares for tickets purchased during those last 30 days. The company has noticed that 50% of its customers
take advantage of the advance-purchase fares. The "no-show" rate among people who paid regular fares is 30%, but only 5% of customers with advance-purchase tickets are no-shows. Complete parts a through c below.
a) What percent of all ticket holders are no-shows?
The percentage is %.
(Type an integer or a decimal. Do not round.)
b) What's the probability that a customer who didn't show had an advance-purchase ticket?
The probability is
(Round to four decimal places as needed.)
c) Is being a no-show independent of the type of ticket a passenger holds? Explain.
Choose the correct answer below.
O A. No, because a passenger may have both types of tickets.
O B. No, because the likelihood of being a no-show is different for each type of passenger.
OC. Yes, because the likelihood of being a no-show is identical for both types of passengers.
O D. Yes, because each passenger can only have an advance-purchase or regular purchase ticket.
Transcribed Image Text:An airline offers discounted "advance-purchase" fares to customers who buy tíckets more than 30 days before travel and charges "regular fares for tickets purchased during those last 30 days. The company has noticed that 50% of its customers take advantage of the advance-purchase fares. The "no-show" rate among people who paid regular fares is 30%, but only 5% of customers with advance-purchase tickets are no-shows. Complete parts a through c below. a) What percent of all ticket holders are no-shows? The percentage is %. (Type an integer or a decimal. Do not round.) b) What's the probability that a customer who didn't show had an advance-purchase ticket? The probability is (Round to four decimal places as needed.) c) Is being a no-show independent of the type of ticket a passenger holds? Explain. Choose the correct answer below. O A. No, because a passenger may have both types of tickets. O B. No, because the likelihood of being a no-show is different for each type of passenger. OC. Yes, because the likelihood of being a no-show is identical for both types of passengers. O D. Yes, because each passenger can only have an advance-purchase or regular purchase ticket.
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