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Let X and Y be two continuous random variables with the joint pdf f(x, y) = c if 0 x, y 1 and x

  

Let X and Y be two continuous random variables with the joint pdf f(x, y) = c if 0 x, y 1 and x + y 1, or 1x 0,0 y 1 and x+y 1 and zero otherwise. (1) Derive the constant c, using the defining properties of a pdf.

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