Page 18 of 20

8. In the airline industry, the term "mishandled baggage" refers to baggage that was lost, delayed, damaged, or stolen. In 2017, American Airlines had an average of 3.38 mishandled bags per 1000 passengers. Consider an incoming Boeing 787 American Airlines flight carrying 260 passengers. Let be the number of mishandled bags.

a. Use the binomial distribution to find the probability that there will be at least one mishandled bag.

1. b. Use the Poisson approximation to find the probability that there will be at least one mishandled bag.