The power W dissipated in a resistor is proportional to the square of the voltage V. That

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The power W dissipated in a resistor is proportional to the square of the voltage V. That is, W = rV²

where r is a constant. If r = 3, and V can be assumed (to a very good approximation) to be a normal random variable with mean 6 and standard deviation 1, find

(a) E [W];

(b) P{W > 120}.

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