Question
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
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 X5 be the observed fuel efficiencies (mpg) for the five cars. Suppose these variables are independent and normally distributed with 1 = 2 = 20, 3 = 4 = 5 = 21, and 2 = 4 for the economy brand and 3.5 for the name brand. Define an random variable Y by Y = X1 + X2 2 X3 + X4 + X5 3 so that Y is a measure of the difference in efficiency between economy gas and name-brand gas. Compute P(0 Y) and P(1 Y 1)
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