Records over the past year show that 1 out of 315 loans made by Mammon Bank have defaulted. Find the probability that 5 or more out of 300 loans will default. Hint: Is it appropriate to use the Poisson approximation to the binomial distribution? (Round λ to 1 decimal place. Use 4 decimal places for your answer.)
Flying over the western states with mountainous terrain in a small aircraft is 40% riskier than flying over similar distances in flatter portions of the nation, according to a General Accounting Office study completed in response to a congressional request. The accident rate for small aircraft in the 11 mountainous western states is 3.0 accidents per 100,000 flight operations.
b) Find the probability of no accidents in 100,000 flight operations. (Use 4 decimal places.)
(c) Find the probability of at least 8 accidents in 220,000 flight operations. (Use 4 decimal places.)