The article “Metal Hips Fail Faster, Raise Other Health Concerns” on the www. arthritis.com website reported that the five-year failure rate of metal-on-plasticimplants was 1.7% (rates for metal-onmetal and ceramic implants were significantly higher). Use both a binomial calculation and a Poisson approximation to answer each of the following.
a. Among 200 randomly selected such implants, what is the probability that exactly three will fail?
b. Among 200 randomly selected such implants, what is the probability that at most three will fail?