Harper's Index reported that the number of (OrangeCounty, California) convicted drunk drivers whose sentence includeda tour of the morgue was 542, of which only 1 became a repeatoffender.
(a) Suppose that of 1074 newly convicted drunk drivers, all wererequired to take a tour of the morgue. Let us assume that theprobability of a repeat offender is still p = 1/542.Explain why the Poisson approximation to the binomial would be agood choice for r = number of repeat offenders out of 1074convicted drunk drivers who toured the morgue.
The Poisson approximation is good because n is large,p is small, and np < 10.The Poissonapproximation is good because n is large, p issmall, and np > 10. ThePoisson approximation is good because n is large,p is large, and np < 10.The Poissonapproximation is good because n is small, p issmall, and np < 10.
What is ? to the nearest tenth?
(b) What is the probability that r = 0? (Use 4 decimalplaces.)
(c) What is the probability that r > 1? (Use 4 decimalplaces.)
(d) What is the probability that r > 2? (Use 4 decimalplaces.)
(e) What is the probability that r > 3? (Use 4 decimalplaces.)
