A certain state groups its licensed drivers according to age in the following ca

Question

A certain state groups its licensed drivers according to age in the following categories: Group        Size           Accident Rate 1            0.250                0.086   2            0.257               0.044 3            0.347               0.056   4            0.146               0.098 Group 1 is from ages 16 -25 ; Group 2 is fromages 26-45; Group 3 is from ages 46-65; and Group 4 is over65. a) What proportion of licensed drivers had accidents? b) What proportion of those licensed drivers who had anaccident were over 65? Note: Would like more than one person to answer this question.Will give rating to those who respond A certain state groups its licensed drivers according to age in the following categories: Group        Size           Accident Rate 1            0.250                0.086   2            0.257               0.044 3            0.347               0.056   4            0.146               0.098 Group 1 is from ages 16 -25 ; Group 2 is fromages 26-45; Group 3 is from ages 46-65; and Group 4 is over65. a) What proportion of licensed drivers had accidents? b) What proportion of those licensed drivers who had anaccident were over 65? Note: Would like more than one person to answer this question.Will give rating to those who respond

Explanation / Answer

The trick to this problem is being able to make sense of thetable they give you. The first colume is pretty straightforward; it lists the four age groups. The second colume("Size") lists the percent of all the drivers in the statethat are in the correponding age group. The final the column("Accident rate") is the tricky one. It lists the percent ofaccidients caused by drivers in the corresponding agegroup. For example: Group 1 (ages 16 -25) accounts for 25% of alldrivers in the state, and of that 25%, 8.6% have been inaccidents.   Group               Size           Accident Rate 1:16-25            25.0%                8.6%   2:26-45            25.7%               4.4% 3:46-65            34.7%               5.6%   4: 65&up           14.6%               9.8% a) What proportion of licensed drivers had accidents? To answer this you just sum up all the percentages in thethird column: 8.6% + 4.4% + 5.6% + 9.8% =28.4% So, 28.4% of licensed drivers in this state have hadaccidents. b) What is the proportion of those licensed drivers who had anaccident were over 65? To answer this you need to multiply the percent of driverswho are over 65 (14.6%) by the percent of accidents they have(9.8%). .146 * .098 = .014308 which is1.43% Hope this is helpful to you.   Group               Size           Accident Rate 1:16-25            25.0%                8.6%   2:26-45            25.7%               4.4% 3:46-65            34.7%               5.6%   4: 65&up           14.6%               9.8%   Group               Size           Accident Rate 1:16-25            25.0%                8.6%   2:26-45            25.7%               4.4% 3:46-65            34.7%               5.6%   4: 65&up           14.6%               9.8%   Group               Size           Accident Rate 1:16-25            25.0%                8.6%   2:26-45            25.7%               4.4% 3:46-65            34.7%               5.6%   4: 65&up           14.6%               9.8% a) What proportion of licensed drivers had accidents? To answer this you just sum up all the percentages in thethird column: 8.6% + 4.4% + 5.6% + 9.8% =28.4% So, 28.4% of licensed drivers in this state have hadaccidents. b) What is the proportion of those licensed drivers who had anaccident were over 65? To answer this you need to multiply the percent of driverswho are over 65 (14.6%) by the percent of accidents they have(9.8%). .146 * .098 = .014308 which is1.43% Hope this is helpful to you.

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