Question: You want to buy a square chess board from a local artists' collective. Since each chessboard is uniquely handcrafted and you didn't bring your ruler,

You want to buy a square chess board from a local artists' collective. Since each chessboard is uniquely handcrafted and you didn't bring your ruler, you are not sure of the exact dimensions. Let X be the length of the side of one of the boards, and assume that X is uniformly distributed between 12 and 18 inches.
a. What is the expected area of the board that you buy?
b. What is the standard deviation of the area of the board?

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