Airlines often sell more tickets for a flight than there are seats because some ticket holders do not show up for the flight. Assume that an airplane has 170 seats for passengers and that the probability that a person holding a ticket appears for the flight is 0.93. If the airline sells 176 tickets, what is the probability that everyone who appears for the flight will get a seat?
A)0.9625
B)0.9515
C)0.9778
D)0.9608

Question

Quizplus · Accepted Answer

The probability that a ticket holder does not show up is 0.07 (1 - 0.93). We need to find the probability that 170 or fewer ticket holders show up out of 176. This can be calculated using the binomial distribution with n = 176 and p = 0.93. The probability that 170 or fewer show up is approximately 0.9778.

Airlines Often Sell More Tickets for a Flight Than There