During December 2017, American Airlines lost an average of 2.01 bags per 1000 passengers. Assume the number of lost bags follows the Poisson Distribution.

• What is the probability that, of the next 1000 American passengers, nobody will lose their bag?
• What is the probability that, of the next 1000 American passengers, fewer than three will lose their bag?
• What is the probability that, of the next 500
• American passengers, nobody will lose their bag?