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Calculating Binomial Probabilities – Suppose you work for an airline and you are taking reservations for a flight on an aircraft that has 152 seats. You know, based on historical flights trends, that if you sell a single ticket there is a 91% chance that the person with the ticket will actually show up for the flight. You decide to try to make a little extra money by overbooking your flight and you sell 160 tickets hoping that not more than 152 people will actually show up for the flight (note: this is a common business practice!)
Part 1: Explain how this scenario meets the four requirements in the definition of a Binomial Distribution
Part 2: Identify what n and p are in this example and tell the numerical value
Part 3: Calculate the probability that if you sell 160 tickets for your flight, more passengers will show up than there are seats available (again, the plane has 152 seats total). Give your final answer in sentence format with a percentage rounded to two decimal places.
Part 4: Based on this probability, do you think it is a wise business practice to oversell your flight in this manner? Explain.
