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