Harper's Index reported that the number of Orange County, California convicted drunk drivers whose sentence included a tour of the morgue was 569, of which only 1 became a repeat offender.

(a) Suppose that of 1000 newly convicted drunk drivers, all were required to take a tour of the morgue. Let us assume that the probability of a repeat offender is still p = 1/569. Explain why the Poisson approximation to the binomial would be a good choice for r = number of repeat offenders out of 1000 convicted drunk drivers who toured the morgue. What is l to the nearest tenth?

(b) What is the probability that r = 0?

(c) What is the probability that r > 1?

(d) What is the probability that r > 2?

(e) What is the probability that r > 3?