Suppose the current I in a circuit is random variable with probability density function f(i) = 6i(i − 1) , 0 < i < 1 and the resistance R in the circuit is a random variable with probability density function g(r) = 2r , 0 < r < 1 Assuming I and R are independent, find the distribution of the power dissipation, W = I 2R.

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