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An airport shuttle service uses a van that can accommodate a driver and 9 passengers. Past...

An airport shuttle service uses a van that can accommodate a driver and 9 passengers. Past experience has shown that 80% of people who make a reservation actually show up. The probability of any person showing up for the van is independent from whether other people show up or don’t show up.

If the shuttle service takes 9 reservations for the 2 p.m. shuttle, what is the probability that exactly 7 people show up?

ANSWER (4 decimal places):_______________________

In order to avoid too many empty seats, the airport shuttle company decides to take 10 reservations for the 9-passenger van. The probability of someone showing up to claim their reservation is still 80%. What is the probability that there will not be enough seats for all of the people who show up?

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