In CABG surgery, there is a 0.00013 probability of a retained foreign body (e.g., a sponge or a surgical instrument) left inside the patient.
(a) In 70,000 CABG surgeries, what is the expected number of retained foreign bodies? (Round your answer to the nearest whole number.)
Expected number
(b) What is the Poisson approximation to the binomial probability of eight or fewer retained foreign bodies in 70,000 CABG surgeries? (Round your answer to 6 decimal places.)