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A company has a policy of retiring company cars; this policy looks at number of miles driven, purpose of trips,style of car and other features. The distribution of the number of months in service for the fleet of cars isbell-shaped and has a mean of 38 months and a standard deviation of 7 months. Using the 68-95-99.7(Empirical) Rule, what is the approximate percentage of cars that remain in service between 45 and 59months?The approximate percentage of cars that remain in service between 45 and 59 months is%. Do notenter the percent symbol.)Question Help: Video

User David Lee
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\begin{gathered} \mu=38 \\ \sigma=7 \\ Empirical\text{ rule} \\ For\text{ }68\text{\%} \\ number\text{ of cars} \\ x=\mu\pm\sigma \\ x1=38-7 \\ x1=31 \\ x2=38+7 \\ x2=45,\text{ percentage to use \lparen68\%\rparen} \\ For\text{ 95\%} \\ x=\mu\pm2\sigma \\ x3=38-2(7) \\ x3=24 \\ x4=38+2(7) \\ x4=52 \\ For\text{ 99.7\%} \\ x=\mu\pm3\sigma \\ x5=38-3(7) \\ x5=17 \\ x6=38+3(7) \\ x6=59,\text{ percentage to use 99.7\%} \\ Percentage\text{ remain car} \\ \text{ \%=99.7-68} \\ \operatorname{\%}\text{=31.7} \\ \operatorname{\%}=(31.7)/(2) \\ \operatorname{\%}=15.85 \\ Hence\text{ the percentage is 15.85\%} \end{gathered}

A company has a policy of retiring company cars; this policy looks at number of miles-example-1
A company has a policy of retiring company cars; this policy looks at number of miles-example-2
User Azher Aleem
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