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Harper's Index reported that the number of (Orange County, California) convicted drunk drivers whose sentence included a...

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Basic Math

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.)

Answer & Explanation Solved by verified expert
4.1 Ratings (504 Votes)
Here N 1074 and p 1542 For Binomial Distribution with large n calculating the mass function is pretty complex So for those complex large    See Answer
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