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State New York Vehicle Inspection Done Annually Vehicles New York Registrations4 Inspectio Q43832686

In the State of New York, a vehicle inspection is done annuallyon all vehicles with New York registrations4. These inspections aredone by private garages that are licensed by the State. There areexactly 100 such garages in a particular county. The New York StatePolice want to make sure that the garages are performingsatisfactorily. If not, inspection licenses can be revoked. TheState Police wish to select five of these stations, in whichundercover troopers will have cars with pre-set defectsinspected.

(a)   You are a summer intern working for the New YorkState Police. Your boss gives you a numbered list of the 100garages and asks you to select a random sample of these fivegarages (by number) using RandInt(1,100,5). Do 10 such simulations.Please enclose them with your work so that I can make comments.

(b)   After doing (a) for practice, you generate the“official” list and give it to your boss. Troopers inspect thesegarages and find little or no problems. However, four of thegarages have proprietors that have emigrated from the Middle East.Two of these four stations are among the five that were on yourlist. They have accused the New York State Police (and thereforeyou) of profiling based on national origin. Using your simulationsfrom part (a), determine whether you have given the NYSP thisextreme a result in any of your simulations from Part (a). (Hint:Use RandInt(1,100, 4) to determine which stations are owned byimmigrants from the Middle East and compare with yoursimulations.)

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