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(4 points) A fruit shop sells four kinds of fruits: apples, bananas, grapes and oranges. Their prices are US$2.0, US$1.0, US$4.0 and US$3.0 per pound.

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(4 points) A fruit shop sells four kinds of fruits: apples, bananas, grapes and oranges. Their prices are US$2.0, US$1.0, US$4.0 and US$3.0 per pound. Let X1, X2, X3, and X4 denote the pounds sold per day for these fruits. Assume that Xi is normally distributed and independent, where u1 = 60, u2 = 65, 13 = 55, 14 = 50, 61 = 2.0, 02 = 2.0, 03 = 1.5, and 64 = 1.0. A. Find the expected value and standard deviation of the sum of income from apples and oranges in a day. 2 pt B. What is the probability that the sum of income from apples and oranges is greater than the sum of income from bananas and grapes in a day? 2 pt

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