Harper's Indexreported that the number of (Orange County, California) convicted drunk drivers whose sentence included a tour of the morgue was509, of which only 1 became a repeat offender.

(a) Suppose that of912newly convicted drunk drivers, all were required to take a tour of the morgue. Let us assume that the probability of a repeat offender is stillp= 1/509. Explain why the Poisson approximation to the binomial would be a good choice forr= number of repeat offenders out of912convicted drunk drivers who toured the morgue.

A) The Poisson approximation is good becausenis large,pis small, andnp> 10.

B) The Poisson approximation is good becausenis large,pis small, andnp< 10.

C) The Poisson approximation is good becausenis large,pis large, andnp< 10.

D) The Poisson approximation is good becausenis small,pis small, andnp< 10.

What isto the nearest tenth?

(b) What is the probability thatr= 0? (Use 4 decimal places.)

(c) What is the probability thatr>1? (Use 4 decimal places.)

(d) What is the probability thatr>2? (Use 4 decimal places.)

(e) What is the probability thatr>3? (Use 4 decimal places.)