Question

When a current I(measured in amperes) flows through a resistance R(measured in ohms), the power generated...

When a current I(measured in amperes) flows through a resistance R(measured in ohms), the power generated is given by W = I^2R (measured in watts). Suppose that I and R are independent random variables with densities:

f(i) = 6i(1-i) for 0 < i < 1

f(r) = 2r for 0 < r < 1

Determine the pdf of W

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