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Let X represent the amount of gas, in gallons, that drivers put in their cars when fueling at asmall downtown gas station. The model for

Let X represent the amount of gas, in gallons, that drivers put in their cars when fueling at asmall downtown gas station. The model for this variable X is uniformly distributed between 4 and 12 gallons.

For our uniform(4, 12) model, the standard deviation is 2.3094 gallons. 1. Find the probability that the amount of gasoline that a randomly selected driver will put in the car is within two standard deviations of the mean (show your work). 2. Is this probability consistent with the Empirical rule? Explain.

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