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###### Five automobiles of the same type are to be driven on a 300-mile trip. The first...

Five automobiles of the same type are to be driven on a 300-mile trip. The first two will use an economy brand of gasoline, and the other three will use a name brand. Let X1, X2, X3, X4, and Xs be the observed fuel efficiencies (mpg) for the five cars. Suppose these variables are independently distributed with M1 = H2 = 20, M3 = M4 = M5 = 24, and oí = oz = 4 for the economy brand and oz = 04 = 0} = 3.5 for the name brand. Define the rv Y by x + X₂ X₃ + X4 + X, 2 so that Y is a measure of the difference in efficiency between economy gas and name-brand gas. 3 Compute Oy.[3 decimal places]

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