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Proportion of cars falls into what range for gas mileage

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Gas mileage for both of these cars is around 17 mpg in town and 25 mpg on the highway.

Suppose that the highway gas mileage rates for both of these cars are uniformly distributed over a range from 20 to 30 mpg. What proportion of these cars would fall into the 22 to 27 mpg range? Compute the proportion of cars that get more than 28 mpg. What proportion of cars would get less than 23 mpg?

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Solution Summary

The proportion of cars which fall into the range of gas mileage are provided.

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Since gas mileage rates are uniformly distributed on the interval [20, 30], the probability density function for both of these cars is f(x)=1/(30-20)=1/10, 20 <= x <= 30.

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