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

Short Answer

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.
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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 0.97 of obtaining accommodation on the ship, determine the largest number of reservations that should be taken for a cruise on the S.S. Drion.
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Round your answer to the nearest integer.
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__________ reservations