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A particular sale involves six items randomly selected from a large lot that is known to contain 10% defectives. Let Y denote the number of defectives among the six sold. The purchaser of the items will return the defectives for repair, and the repair cost is given by X = 3(Y^2) - 2Y + (1/2). In addition to determining the distribution of Y, find the expected repair cost, i.e. E(X).

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