## Related questions with answers

Based on long experience, an airline has found that about 6% of the people making reservations on a flight from Miami to Denver do not show up for the flight. Suppose the airline overbooks this flight by selling 267 ticket reservations for an airplane with only 255 seats. Let n = 267 represent the number of ticket reservations. Let r represent the number of people with reservation s who show up for the flight. Which expression represents the probability that a seat will be available for everyone who shows up holding a reservation? $P(255 \leq r)$; $P(r \leq 255)$; $P(r \leq 267)$; $P(r=255)$

Solution

VerifiedGiven:

$n=267$

If a seat is available for every person that shows up, then the number of people who show up should be at most 255, because the plane has only 255 seats.

$P(r\leq 255)$

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