Assume that an airline operates a 172-seat McDonnel Douglas MD-88 on a particular route. Historically, the probability of a passenger showing up for a flight is 99%. 1. Assume that 172 tickets were sold. Let X be the number of passengers who showed up for the flight. a. Describe the distribution of X: X NFBNT T P O b. Find the probability that the flight is not full, in other words, find the probability that not all passengers will show up: P(X ≤ c. Find the expected number of passengers who show up for the flight: (Round the answer to 4 decimal places)

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Question 8
Assume that an airline operates a 172-seat McDonnel Douglas MD-88 on a particular route. Historically, the
probability of a passenger showing up for a flight is 99%.
1. Assume that 172 tickets were sold. Let X be the number of passengers who showed up for the flight.
a. Describe the distribution of X:
X ~?
?
NFBZT
(n
a. Describe the distribution of Y:
b. Find the probability that the flight is not full, in other words, find the probability that not all
passengers will show up:
P(X ≤
P
c. Find the expected number of passengers who show up for the flight:
E[X]
(Round the answer to the whole number)
d. Find the expected number of empty seats by subtracting the E[X] from the plane capacity:
Y ~? (n
TBNNF
(Round the answer to the whole number)
2. Assume that the airline sells 1 more ticket (s). Let Y be the number of passengers who showed up for the
flight.
O
=
(Round the answer to 4 decimal places)
P= =
b. Find the probability that more passengers will show up than the plane can carry:
P(Y>
(Round the answer to 4 decimal places)
Transcribed Image Text:Question 8 Assume that an airline operates a 172-seat McDonnel Douglas MD-88 on a particular route. Historically, the probability of a passenger showing up for a flight is 99%. 1. Assume that 172 tickets were sold. Let X be the number of passengers who showed up for the flight. a. Describe the distribution of X: X ~? ? NFBZT (n a. Describe the distribution of Y: b. Find the probability that the flight is not full, in other words, find the probability that not all passengers will show up: P(X ≤ P c. Find the expected number of passengers who show up for the flight: E[X] (Round the answer to the whole number) d. Find the expected number of empty seats by subtracting the E[X] from the plane capacity: Y ~? (n TBNNF (Round the answer to the whole number) 2. Assume that the airline sells 1 more ticket (s). Let Y be the number of passengers who showed up for the flight. O = (Round the answer to 4 decimal places) P= = b. Find the probability that more passengers will show up than the plane can carry: P(Y> (Round the answer to 4 decimal places)
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