Question

Elena conducts an experiment in which she fills up the gas tank on her Toyota Camry 40 times and records the miles per gallon for each fill up. A histogram of the miles per gallon indicates that a normal distribution with a mean of 24.6 miles per gallon and a standard deviation of 3.2 miles per gallon could be used to model the gas mileage for her car. (a) The figure represents the normal curve with $\mu=24.6$ miles per gallon and $\sigma=3.2$ miles per gallon. The area under the curve to the right of $x=26$ is $0.3309 .$ Provide two interpretations of this area. (b) The figure at the top of the next column represents the normal curve with $\mu=24.6$ miles per gallon and $\sigma=3.2$ miles per gallon. The area under the curve between $x=18$ and $x=21$ is $0.1107 .$ Provide two interpretations of this area.

          Elena conducts an experiment in which she fills up the gas tank on her Toyota Camry 40 times and records the miles per gallon for each fill up. A histogram of the miles per gallon indicates that a normal distribution with a mean of 24.6 miles per gallon and a standard deviation of 3.2 miles per gallon could be used to model the gas mileage for her car.
(a) The figure represents the normal curve with $\mu=24.6$ miles per gallon and $\sigma=3.2$ miles per gallon. The area under the curve to the right of $x=26$ is $0.3309 .$ Provide two interpretations of this area.
(b) The figure at the top of the next column represents the normal curve with $\mu=24.6$ miles per gallon and $\sigma=3.2$ miles per 
gallon. The area under the curve between $x=18$ and $x=21$ is $0.1107 .$ Provide two interpretations of this area.

Added by Magdalena P.

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