Question

4.40 The officers of the Lower Slobbovian Navy have decided to increase the gain on their receiver. What they do not realize is that increasing the gain also increases the noise. Therefore, in the case that a giant seal is present, the receiver output is given by X=2W+3 The noise PDF is shown below. (a) Sketch and carefully label the PDF for the receiver output x. (b) Find the variance of the noise, Var[W] (c) Find the variance of the sonar output, Var[X].