The number of bank failures per year among those insured by the Federal Deposit Insurance Company has a mean of 7.0. The failures occur independently. What is the probability that:
(a) There will be at least 4 failures in the coming year?
(b) There will be between 2 and 8 failures, inclusive, in the coming year?
(c) During the next two years there will be at most 8 failures?