Risk and Odds in Everyday Life, by James Burke, reports that the probability a police of­ficer will be killed in the line of duty is 0.5% (or less).

(a) In a police precinct with 175 of­ficers, let r = number of police of­ficers killed in the line of duty. Explain why the Poisson approximation to the binomial would be a good choice for the random variable r. What is n? What is p? What is l to the nearest tenth?

(b) What is the probability that no of­ficer in this precinct will be killed in the line of duty?

(c) What is the probability that one or more of­ficers in this precinct will be killed in the line of duty?

(d) What is the probability that two or more of­ficers in this precinct will be killed in the line of duty?