Question: 3. Let X be a Gaussian random variable with mean 0 and variance of = 4kTRB Here X represents the voltage across a resistor with

3. Let X be a Gaussian random variable with mean 0 and variance of = 4kTRB Here X represents the voltage across a resistor with resistance R (in ohms) at temperature T (in Kelvin) and in a bandwidth B (in Hertz) due to ther- mal energy of electrons. For this problem T, R, B are constants. Also, k is Boltzman's constant. The power dissipated by the resistor is Y = (a) Find the density of the power dissipated, fy(y). Your answer can depend on the above constants. (b) Find the expected value of the power dissipated

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