Question

An airline knows that 5 percent of the people making reservations on a certain flight will not show up. Consequently, their policy is to sell 52 tickets for a flight that can only hold 50 passengers. What is the probability that there will be a seat available for cvery passenger that shows up?

Name: An airline knows that 5 percent of the people making reservations on a certain flight will not show up. Consequently, their policy is to sell 52 tickets for a flight that can only hold 50 passengers. What is the probability that there will be a seat available for cvery passenger that shows up?
Uploaded: 2022-03-31T22:26:16-08:00
Duration: 3 min 2 s
Channel: Jon Southam
Description: An airline knows that 5 percent of the people making reservations on a certain flight will not show up. Consequently, their policy is to sell 52 tickets for a flight that can only hold 50 passengers. What is the probability that there will be a seat available for cvery passenger that shows up?

          An airline knows that 5 percent of the people making reservations on a certain flight will not show up. Consequently, their policy is to sell 52 tickets for a flight that can only hold 50 passengers. What is the probability that there will be a seat available for cvery passenger that shows up?

Added by Kevin K.

Probability with Applications in Engineering, Science, and Technology

Matthew A. Carlton • Jay L. Devore 2nd Edition

Instant Answer

Solved by Expert Jon Southam

03/31/2022

Step 1

Let \( X \) be the random variable representing the number of passengers who show up. \( X \) follows a binomial distribution with parameters \( n = 52 \) (the number of tickets sold) and \( p = 0.95 \) (the probability that a ticket holder shows up). Show more…

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An airline knows that 5 percent of the people making reservations on a certain flight will not show up. Consequently, their policy is to sell 52 tickets for a flight that can only hold 50 passengers. What is the probability that there will be a seat available for cvery passenger that shows up?