30

31

The information here is the same for answering questions 30 to 31. On a given Hong Kong-Singapore flight, there are 300 seats. Suppose the ticket price is 400 Singapore dollars (SGD) 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 24. You decide to overbook the flight and estimate that the net cost of an involuntary boarding denial (if the number of passengers exceeds the number of seats) is SGD900 (everything considered). The optimal number of reservations that you should accept (rounded to the nearest integer) is: 340 334 352 328 346 Given the optimal number of reservations, what is the probability that you won't need to deal with bumped passengers? (Choose the closest number if needed.) 43% 57% 80% 69% 67%