Question

Suppose that the probability that a passenger will miss a flight is 0.0911. 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 are sold. What is the probability that a passenger will have to be "bumped"? (c) 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 5%?

Answer #1

**Solution:-**

**a) The probability that 59 or 60 passengers show up for
the flight resulting in an overbooked flight is
0.02275**

P(Showing up) = 1 - 0.0911 = 0.9089, n = 60

x = 59

By applying binomial distribution:-

P(x,n) =
^{n}C_{x}*p^{x}*(1-p)^{(n-x)}

P(x > 59) = P(x = 59) + P(x = 60)

**P(x >
59) = 0.02275**

**b) The probability that a passenger will have to be
"bumped" is 0.4667.**

P(Showing up) = 1 - 0.0911 = 0.9089, n = 64

x = 58

By applying binomial distribution:-

P(x,n) =
^{n}C_{x}*p^{x}*(1-p)^{(n-x)}

**P(x > 58) = 0.4667**

**c) Number of tickets to be booked for plane with seating
capacity of 51 passengers, so that the probability of a passenger
being "bumped" below 5% is 53 or less.**

P(Showing up) = 1 - 0.0911 = 0.9089

x = 51, n = ?

P(x > 51) < 0.05

By applying binomial distribution:-

P(x,n) =
^{n}C_{x}*p^{x}*(1-p)^{(n-x)}

**n = 53**

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?
The probability of an overbooked...

Suppose that the probability that a passenger will miss a flight
is
0.0916
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
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 are...

Suppose that the probability that a passenger will miss a flight
is 0.0959. 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 5353 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...

Suppose that the probability that a passenger will miss a flight
is 0.0913. 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 0.0905. 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 0.09070 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
0.09560.0956.
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
5959
passengers.(a) If
6161
tickets are sold, what is the probability that
6060
or
6161
passengers show up for the flight resulting in an overbooked
flight?(b) Suppose that
6565
tickets are sold....

Suppose that the probability that a passenger will miss a flight
is 0.09580. 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...

Please answer a-c
Suppose that the probability that a passenger will miss a flight
is 0.09850. 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 5858 tickets are sold, what is the probability that 57 or
58 passengers show up for the flight resulting in an overbooked
flight?
(b) Suppose...

Because many passengers who make reservations do not show? up,
airlines often overbook flights? (sell more tickets than there are?
seats). A certain airplane holds 166 passengers. If the airline
believes the rate of passenger? no-shows is 6?% and sells 178
?tickets, is it likely they will not have enough seats and someone
will get? bumped? A)Use the normal model to approximate the
binomial to determine the probability of at least 167 passengers
showing up. B) Should the airline change...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 5 minutes ago

asked 7 minutes ago

asked 15 minutes ago

asked 35 minutes ago

asked 47 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago