Because not all airline passengers show up for their reserved seats, an airline sells 125 tickets...

Because not all airline passengers show up for their reserved seats, an airline sells 125 tickets for a flight that holds only 120 passengers. The proportion that a passenger does not show up is 10%, and the passengers behave independently. [Think Binomial Dist.]

a. What is the proportion that every passenger who shows up gets a seat?

b. What is the proportion that the flight departs with empty seats?

c. What are the mean and standard deviation of the number of passengers who show up?

Expert Solution

orchestra answered 1 year ago

Because not all airline passengers show up for their reserved seat, an airline sells 125 tickets...

Because not all airline passengers show up for their reserved seat, an airline sells 125 tickets for a flight that holds only 124 passengers. The probability that a passenger does not show up is 0.10, and the passengers behave independently. Round your answers to two decimal places (e.g. 98.76). (a) What is the probability that every passenger who shows up gets a seat? (b) What is the probability that the flight departs with empty seats? (c) What are the mean...

An airline estimates that 80% of passengers who reserve the tickets actually show up for the...

An airline estimates that 80% of passengers who reserve the tickets actually show up for the flights. Based on this information, it has to decide how many tickets it will sell for each flight, which is typically more than the number of seats actually available. In the economy section of a particular aircraft, 200 seats are available. The airline sells 225 seats. What is the probability that more passengers will show up than there are seats for?

4. An airline sells 338 tickets for a flight to Manila which has 335 seats. It...

4. An airline sells 338 tickets for a flight to Manila which has 335 seats. It is estimated that 98% of all ticketed passengers show up for the flight. Find the probability that the flight will depart with (at least one) empty seats? (10)

Airlines routinely overbook flights, selling more tickets than seats available. If too many ticketed passengers show...

Airlines routinely overbook flights, selling more tickets than seats available. If too many ticketed passengers show up, they offer payments to volunteers who are willing to give up their seats. These take such forms as cash vouchers for future flights and upgrades to first class on the next flight out. a. Why is this situation more efficient than a simple rule that prohibits airlines from overbooking? (Be sure to say precisely what you mean by efficiency.) b. Why do you...

Airlines sometimes overbook fights. Suppose that for a plane with 50 seats, 53 passengers have tickets....

Airlines sometimes overbook fights. Suppose that for a plane with 50 seats, 53 passengers have tickets. Define the random variable Y as the number of ticketed passengers who actually show up for the fight. The probability mass function of Y appears in the accompanying table. Y 48 49 50 51 52 53 P(Y=y) 0.28 ? 0.25 0.06 0.05 0.05 a. Given the missing value P(Y=49). b. What is the probability that the fight will accommodate all ticketed passengers who show...

A commonly used practice of airline companies is to sell more tickets than actual seats to...

A commonly used practice of airline companies is to sell more tickets than actual seats to a particular flight because customers who buy tickets do not always show up for the flight. Suppose that the percentage of no shows at flight time is 2%. For a particular flight with 380 seats, a total of 384 tickets were sold. Use normal approximation to find the probability that (a) at most 375 passengers will show up. (b) the airline overbooked this flight....

5 People are attending a concert and have reserved 5 seats all in the same row....

5 People are attending a concert and have reserved 5 seats all in the same row. Persons 1 & 2 are a couple and want to sit together. How many ways can these people arrange themselves in the seats? a) Using this information and Excel, create a table that depicts all possible arrangements of the seats. b) Create a probability model to calculate the number of arrangements using Excel function. Hints: In creating your probability model, you will use the...

An airline claims that the no-show rate for passengers is 5%. In a sample of 420...

An airline claims that the no-show rate for passengers is 5%. In a sample of 420 randomly selected reservations, 19 were no-shows. At α = 0.05, test the airline’s claim. Also construct a 95% confidence interval for the proportions of no-show in the airline reservations to see the connection between confidence interval and hypothesis testing.

An airline claims that the no-show rate for passengers is less than 5%. In a sample...

An airline claims that the no-show rate for passengers is less than 5%. In a sample of 420 randomly selected reservations, the rate of no-show is 4.5%. Set up the null and alternative hypothesis to test this claim. Describe what type 1 error and type 2 error are in this case. Find the test statistic and make a decision at 5% level of significance.

An airline claims that the no-show rate for passengers is less than 7%. In a sample...

An airline claims that the no-show rate for passengers is less than 7%. In a sample of 420 randomly selected reservations, 18 w ere no-shows. At α = 0.01, test the airline's claim. A. P-value = 0.002 < 0.01; reject H0; There is not enough evidence to support the airline's claim, that is less than 7% B. P-value = 0.003 < 0.01; reject H0; There is not enough evidence to support the airline's claim, that is less than 7% C....

Question