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 60% 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. a) What percent of all ticket holders are no-shows? b) What 's the probability that a customer who didn't show had an advance -purchase ticket? c) Is being a no-show independent of the type of ticket a passenger holds? Explain.

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SUBJECTS v
Upper level math > Statistics question & answer
logicfail2
Asked 2 yrs ago.
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 60% 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. a) What percent of
all ticket holders are no-shows? b) What 's the probability that a customer who didn't show
had an advance -purchase ticket? c) Is being a no-show independent of the type of ticket a
passenger holds? Explain.
5.0 *
09
Sarah Schrijvers
a) The percent of no-shows is the percent of no-shows of advance-purchase
tickets increased by the percent of no-shows of advance purchase tickets:
P(no-show) = 0.6 × 0.05+0.4 × 0.3 == 0.03 +0.12 = 0.15 = 15%
Transcribed Image Text:Sh/question/an-airline-offers-discounted-advance/ ADER SUBJECTS v Upper level math > Statistics question & answer logicfail2 Asked 2 yrs ago. 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 60% 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. a) What percent of all ticket holders are no-shows? b) What 's the probability that a customer who didn't show had an advance -purchase ticket? c) Is being a no-show independent of the type of ticket a passenger holds? Explain. 5.0 * 09 Sarah Schrijvers a) The percent of no-shows is the percent of no-shows of advance-purchase tickets increased by the percent of no-shows of advance purchase tickets: P(no-show) = 0.6 × 0.05+0.4 × 0.3 == 0.03 +0.12 = 0.15 = 15%
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