Question: 6.13. When a current I (amperes) flows through a resistance R (ohms), the power generated is given by W = 12R (watts). Suppose that I

6.13. When a current I (amperes) flows through a resistance R (ohms), the power generated is given by W = 12R (watts). Suppose that I and R are independent random variables with the following pdf's. I: f(i) = 6i(1 = 0, - i), 0 i 1, elsewhere. R: g(r) = 2r, 0 < r < 1, = 0, elsewhere. Determine the pdf of the random variable W and sketch its graph.

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