Because of Late Cancellations, Neptune Lines, an Operator of Cruise

Multiple Choice

Because of late cancellations, Neptune Lines, an operator of cruise ships, has a policy of accepting more reservations than there are accommodations available. From experience, 8% of the bookings for the 90-day around-the-world cruise on the S.S. Drion, which has accommodations for 2,000 passengers, are subsequently canceled. If the management of Neptune Lines has decided, for public relations reasons, that a person who has made a reservation should have a probability of 0.90 of obtaining accommodation on the ship, determine the largest number of reservations that should be taken for a cruise on the S.S. Drion. Round your answer to the nearest integer.

A) 2,156 reservations
B) 2,190 reservations
C) 2,079 reservations
D) 2,207 reservations
E) 2,275 reservations