9. Putting It Together: Red Light Cameras. In a study of the feasibility of a red-light...

 

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9. Putting It Together: Red Light Cameras. In a study of the feasibility of a red-light camera program in the city of Milwaukee, the data below summarize the projected number of crashes at 13 selected intersections over a five-year period. Crash Type Reported injury Reported property damage only Unreported injury Unreported property damage only 362 Total Source: Krig, Moran, Regan. "An Analysis of a Red-Light Camera Program in the City of Mihwaukee, "Spring 2006, prepared for the city of Milwaukee Budget and Management Division (a) Identify the variables presented in the table. (b) State whether each variable is qualitative or quantitative. If quantitative, state whether it is discrete or continuous. Current System With Red-Light Cameras 221 333 60 308 289 392 78 1121 922 (c) Construct a relative frequency distribution for each system. (d) Construct a side-by-side relative frequency bar graph for the data. (e) Determine the mean number of crashes per intersection in the study, if possible. If not possible, explain why. () Determine the standard deviation number of crashes, if possible. If not possible, explain why. (g) Based on the data shown, does it appear that the red-light camera program will be beneficial in reducing crashes at the intersections? Explain. (h) For the current system, what is the probability that a crash selected at random will have reported injuries? (i) For the camera system, what is the probability that a crash selected at random will have only property damage? 9. Putting It Together: Red Light Cameras. In a study of the feasibility of a red-light camera program in the city of Milwaukee, the data below summarize the projected number of crashes at 13 selected intersections over a five-year period. Crash Type Reported injury Reported property damage only Unreported injury Unreported property damage only 362 Total Source: Krig, Moran, Regan. "An Analysis of a Red-Light Camera Program in the City of Mihwaukee, "Spring 2006, prepared for the city of Milwaukee Budget and Management Division (a) Identify the variables presented in the table. (b) State whether each variable is qualitative or quantitative. If quantitative, state whether it is discrete or continuous. Current System With Red-Light Cameras 221 333 60 308 289 392 78 1121 922 (c) Construct a relative frequency distribution for each system. (d) Construct a side-by-side relative frequency bar graph for the data. (e) Determine the mean number of crashes per intersection in the study, if possible. If not possible, explain why. () Determine the standard deviation number of crashes, if possible. If not possible, explain why. (g) Based on the data shown, does it appear that the red-light camera program will be beneficial in reducing crashes at the intersections? Explain. (h) For the current system, what is the probability that a crash selected at random will have reported injuries? (i) For the camera system, what is the probability that a crash selected at random will have only property damage?