Exercise 5. Suppose the current I in a circuit is random variable with proba- bility density function f(i) = 6i(1 – i) , 0

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Exercise 5. Suppose the current I in a circuit is random variable with proba-
bility density function
f(i) = 6i(1 – i), 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 = 1²R.
Transcribed Image Text:Exercise 5. Suppose the current I in a circuit is random variable with proba- bility density function f(i) = 6i(1 – i), 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 = 1²R.
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