Question: When a current I (measured in amperes) flows through a resistance R (measured in ohms), the power generated (measured in watts) is given byW =

When a current I (measured in amperes) flows through a resistance R (measured in ohms), the power generated (measured in watts) is given byW = I 2R. Suppose that I and R are independent random variables with densities fI (x) = 6x(1 − x) 0 ≤ x ≤ 1 fR(x) = 2x 0 ≤ x ≤ 1 Determine the density function of W.

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