On a given Hong Kong-Singapore flight, there are 300 seats. Suppose the ticket price is $450 and the number of passengers who reserve a seat but do not show up for departure is normally distributed with mean 40 and standard deviation 14. You decide to overbook the flight and estimate that the cost of an involuntary boarding denial (if the number of passengers exceeds the number of seats) is $1350 (including full refund of purchase). (8) The optimal number of reservations that you should accept (rounded to the nearest integer) is Cu = (A) 328 (В) 334 (C) 340 (D) 346 (E) 352 7: 0.43 40 Ho.43)(14) (9) Suppose you have decided to accept the above optimal number of reservations computed in (8). Then what is the probability that you won't need deal with bumped passengers? (*Note: The number of no shows is discrete). (A) 33% (B) 43% (C) 57% (D) 69%

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On a given Hong Kong-Singapore flight, there are 300 seats. Suppose the ticket price is $450 and the number of
passengers who reserve a seat but do not show up for departure is normally distributed with mean 40 and standard
deviation 14. You decide to overbook the flight and estimate that the cost of an involuntary boarding denial (if the
number of passengers exceeds the number of seats) is $1350 (including full refund of purchase).
(8) The optimal number of reservations that you should accept (rounded to the nearest integer) is
Cu =
(A) 328
(В) 334
(C) 340
(D) 346
(E) 352
7: 0.43
40 Ho.43)(14)
(9) Suppose you have decided to accept the above optimal number of reservations computed in (8). Then what is
the probability that you won't need deal with bumped passengers? (*Note: The number of no shows is discrete).
(A) 33%
(B) 43%
(C) 57%
(D) 69%
Transcribed Image Text:On a given Hong Kong-Singapore flight, there are 300 seats. Suppose the ticket price is $450 and the number of passengers who reserve a seat but do not show up for departure is normally distributed with mean 40 and standard deviation 14. You decide to overbook the flight and estimate that the cost of an involuntary boarding denial (if the number of passengers exceeds the number of seats) is $1350 (including full refund of purchase). (8) The optimal number of reservations that you should accept (rounded to the nearest integer) is Cu = (A) 328 (В) 334 (C) 340 (D) 346 (E) 352 7: 0.43 40 Ho.43)(14) (9) Suppose you have decided to accept the above optimal number of reservations computed in (8). Then what is the probability that you won't need deal with bumped passengers? (*Note: The number of no shows is discrete). (A) 33% (B) 43% (C) 57% (D) 69%
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