Acompany 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 is bell-shaped and has a mean of 53 months and a standard deviation of 11 months. using the 68-95-99.7 rule, what is the approximate percentage of cars that remain in service between 64 and 75 months? ans=%

ans=13.59%

Step-by-step explanation:

The 68-95-99.7 rule states that, when X is an observation from a random bell-shaped (normally distributed) value with mean and standard deviation , we have these following probabilities

In our problem, we have that:

The distribution of the number of months in service for the fleet of cars is bell-shaped and has a mean of 53 months and a standard deviation of 11 months

So

So:

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What is the approximate percentage of cars that remain in service between 64 and 75 months?

Between 64 and 75 minutes is between one and two standard deviations above the mean.

We have subtracted by is the percentage of cars that remain in service between one and two standard deviation, both above and below the mean.

To find just the percentage above the mean, we divide this value by 2

So:

The approximate percentage of cars that remain in service between 64 and 75 months is 13.59%.