Friday, October 10, 2014

A current of I amperes flows through a resistance of R ohms according to the probability...

A current of I amperes flows through a resistance of R ohms according to the probability distribution

fI(i)= 2i,           0 ≤ i ≤ 1

Suppose that the resistance is also a random variable with probability distribution

FR(r)= 1,         0 ≤ r ≤ 1

Assume that I and R are independent.

(a) Find the probability distribution for the power (in watts) P = I2R.

(b) Find E(P).

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