Suppose that the probability that a passenger will miss a flight is 0.0925. Airlines do not...

Suppose that the probability that a passenger will miss a flight is 0.0925. Airlines do not like flights with empty seats, but it is also not desirable to have overbooked flights because passengers must be "bumped" from the flight. Suppose that an airplane has a seating capacity of 53 passengers. Suppose that 57 tickets are sold. What is the probability that a passenger will have to be "bumped"?

(a) Suppose that 57 tickets are sold. What is the probability that a passenger will have to be "bumped"?

(b). For a plane with seating capacity of 51 passengers, how many tickets may be sold to keep the probability of a passenger being "bumped" below 55%?

For part a using binomcdf (59,0.9075,53)= .4676 1-.4676=0.5324. However when doing it by hand ₅₉nCr₅₃(0.9075)⁵³ (1-0.9075)⁶ =.1646 . Can someone tell me what I am doing wrong when using the formula to solve the question? Thank you

For part b not sure how to do it

Solutions

Expert Solution

orchestra answered 1 year ago

Next > < Previous

Related Solutions

Suppose that the probability that a passenger will miss a flight is 0.0925 Airlines do not...

Suppose that the probability that a passenger will miss a flight is 0.0925 Airlines do not like flights with empty seats, but it is also not desirable to have overbooked flights because passengers must be "bumped" from the flight. Suppose that an airplane has a seating capacity of 59 passengers. (a) If 61 tickets are sold, what is the probability that 60 or 61 passengers show up for the flight resulting in an overbooked flight? (b) Suppose that 65 tickets...

Suppose that the probability that a passenger will miss a flight is 0.0928. Airlines do not...

Suppose that the probability that a passenger will miss a flight is 0.0928. Airlines do not like flights with empty seats, but it is also not desirable to have overbooked flights because passengers must be "bumped" from the flight. Suppose that an airplane has a seating capacity of 54 passengers. (a) If 56 tickets are sold, what is the probability that 55 or 56 passengers show up for the flight resulting in an overbooked flight? (b) Suppose that 60 tickets...

Suppose that the probability that a passenger will miss a flight is 0.0978. Airlines do not...

Suppose that the probability that a passenger will miss a flight is 0.0978. Airlines do not like flights with empty seats, but it is also not desirable to have overbooked flights because passengers must be "bumped" from the flight. Suppose that an airplane has a seating capacity of 51 passengers. (a) If 53 tickets are sold, what is the probability that 52 or 53 passengers show up for the flight resulting in an overbooked flight? (b) Suppose that 57 tickets...

Suppose that the probability that a passenger will miss a flight is 0.0965. Airlines do not...

Suppose that the probability that a passenger will miss a flight is 0.0965. Airlines do not like flights with empty seats, but it is also not desirable to have overbooked flights because passengers must be "bumped" from the flight. Suppose that an airplane has a seating capacity of 54 passengers. (a) If 56 tickets are sold, what is the probability that 55 or 56 passengers show up for the flight resulting in an overbooked flight? (b) Suppose that 60 tickets...

Suppose that the probability that a passenger will miss a flight is 0.0976. Airlines do not...

Suppose that the probability that a passenger will miss a flight is 0.0976. Airlines do not like flights with empty seats, but it is also not desirable to have overbooked flights because passengers must be "bumped" from the flight. Suppose that an airplane has a seating capacity of 59 passengers. (a) If 61 tickets are sold, what is the probability that 60 or 61 passengers show up for the flight resulting in an overbooked flight? (b) Suppose that 65 tickets...

Suppose that the probability that a passenger will miss a flight is .0946. Airlines do not...

Suppose that the probability that a passenger will miss a flight is .0946. Airlines do not like flights with empty seats, but it is also not desirable to have overbooked flights because passengers must be "bumped" from the flight. Suppose that an airplane has a seating capacity of 56 passengers. (a) If 58 tickets are sold, what is the probability that 57 or 58 passengers show up for the flight resulting in an overbooked flight? (b) Suppose that 62 tickets...

Suppose that the probability that a passenger will miss a flight is 0.0917. Airlines do not...

Suppose that the probability that a passenger will miss a flight is 0.0917. Airlines do not like flights with empty seats, but it is also not desirable to have overbooked flights because passengers must be "bumped" from the flight. Suppose that an airplane has a seating capacity of 51 passengers. (a) If 53 tickets are sold, what is the probability that 52 or 53 passengers show up for the flight resulting in an overbooked flight? (b) Suppose that 57 tickets...

Suppose that the probability that a passenger will miss a flight is 0.0929. Airlines do not...

Suppose that the probability that a passenger will miss a flight is 0.0929. Airlines do not like flights with empty seats, but it is also not desirable to have overbooked flights because passengers must be "bumped" from the flight. Suppose that an airplane has a seating capacity of 52 passengers. (a) If 54 tickets are sold, what is the probability that 53 or 54 passengers show up for the flight resulting in an overbooked flight? (b) Suppose that 58 tickets...

Suppose that the probability that a passenger will miss a flight is 0.0912 Airlines do not...

Suppose that the probability that a passenger will miss a flight is 0.0912 Airlines do not like flights with emptyseats, but it is also not desirable to have overbooked flights because passengers must be "bumped" from the flight. Suppose that an airplane has a seating capacity of 53 passengers.(a) If 55 tickets are sold, what is the probability that 54 or 55 passengers show up for the flight resulting in an overbooked flight?(b) Suppose that 59 tickets are sold. What...

Suppose that the probability that a passenger will miss a flight is 0.0943. Airlines do not...

Suppose that the probability that a passenger will miss a flight is 0.0943. Airlines do not like flights with empty seats, but it is also not desirable to have overbooked flights because passengers must be "bumped" from the flight. Suppose that an airplane has a seating capacity of 58 passengers. (a) If 60 tickets are sold, what is the probability that 59 or 60 passengers show up for the flight resulting in an overbooked flight? (b) Suppose that 64 tickets...

Subjects