Question

Airlines typically overbook flights because usually several passengers don’t show up. Assume that one airline flies jets that seat 200 passengers, and with overbooking, the numbers of passengers that show up are approximately normally distributed with mean 182 and standard deviation 8.

- (a) What is the probability that there will not be enough seats on any given flight?

Hint: How many people need to show in order for there not to be enough seats?

- (b)What is the 96
^{th}percentile of the number of people that show up for the flight?

Given the answer above (in part b) we can say that 96% of the time there will be

at least ____________________ empty seats on any given flight.

Answer #1

Solution:-) We have , X is number of passengers.

(a) The probability that there will not be enough seats on any given flight when the number of passengers are greater than 200.

(b) The 96^{th} percentile of the number of
people that show up for the flight is calculated by R

C =196.0055

Given the answer above (in part b) we can say that 96% of the time there will be

at least 200-196 =4 empty seats on any given flight.

The R output is

Because many passengers who make reservations do not show? up,
airlines often overbook flights? (sell more tickets than there are?
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Because many passengers who make reservations do not
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Bold a right parenthesis font size decreased by 1
Use the normal model to approximate the binomial to determine the
probability of at least...

Airline Overbooked: Airlines don't like flights with empty
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overbooked?
. Determine how the probability of overbooking varies as the
number of tickets sold varies from 100 through 115, Hint Use a
one-way data table
. Show how the probability of overbooking varies as the number
of...

Because many pastors who make reservation do not sure
airlines often overbook flights( sell more tickets than there are
seats). A certain airplane holds 295 passengers. If the airline
believes the rate of passenger no shows is 8% and sells 321 tickets
is it likely they will not have enough seats and someone will get
bumped? Use the normal model to approximate the binomial to
determinethe probability of at least 296 passengers showing up.

Airlines, in some cases, overbook flights because past
experience has shown that some passengers fail to show up. Let x be
the discrete random variable that represent the number of
passengers who can't board the plane because there are more
passengers than seats.
X
0
1
2
3
4
P(X)
0.802
0.124
0.052
0.009
0.013
What is the mean, variance, and standard deviation?

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