USA Today reported that for all airlines, the number of lost bags was

May: 6.02 per 1000 passengers December: 12.78 per 1000 passengers

Note: A passenger could lose more than one bag.

(a) Let r = number of bags lost per 1000 passengers in May. Explain why the Poisson distribution would be a good choice for the random variable r. What is ( to the nearest tenth?

(b) In the month of May, what is the probability that out of 1000 passengers, no bags are lost? that 3 or more bags are lost? that 6 or more bags are lost?

(c) In the month of December, what is the probability that out of 1000 passengers, no bags are lost? that 6 or more bags are lost? that 12 or more bags are lost? (Round l to the nearest whole number.)