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............. A class consists of three sections with 10 students each. The mean quiz scores in each section were 40, 50, 60, respectively We pick

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A class consists of three sections with 10 students each. The mean quiz scores in each section were 40, 50, 60, respectively We pick a student, uniformly at random. Let X be the score of the selected student, and let Y be the number of hisfher section. The quantity Var (X | Y : :9) turned out to be equal to 59 for each section (3; = 1,2, 3). (a) The random variable E [X | Y] has

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