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

**Chapter 5, Problem 60**

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**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 the other three will use a name brand. Let X1, X2,X3, X4, and X5 be the observed fuel efficiencies (mpg) for thefive cars. Suppose these variables are independent and normallydistributed with m1 m2 20, m3 m4 m5 21,and s2 4 for the economy brand and 3.5 for the namebrand. Define an rv Y byso that Y is a measure of the difference in efficiency betweeneconomy gas and name-brand gas. Compute P(0 Y) andP(1 Y 1). [Hint: Y a1X1 . . . a5X5, with

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**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 the other three will use a name brand. Let X1, X2,X3, X4, and X5 be the observed fuel efficiencies (mpg) for thefive cars. Suppose these variables are independent and normallydistributed with m1 m2 20, m3 m4 m5 21,and s2 4 for the economy brand and 3.5 for the namebrand. Define an rv Y byso that Y is a measure of the difference in efficiency betweeneconomy gas and name-brand gas. Compute P(0 Y) andP(1 Y 1). [Hint: Y a1X1 . . . a5X5, with

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