±²±±±22442±²³´µ ¶EE302 Homework #4RemarkNote;Hint:Note=()()±E=31()=()2==()=23()=EXYXuXuxX±.YRQXXX±Xaba<bYqXKEXYXqXKK.qxqx K ,.gx x qx.gx K ,.X,EgX.E.X,E..XAssigned 10/14/09, Due 10/23/09 (by 4:30 in dropbox in MSEE 330)1. Text, problem 3.41, page 134.2. Text, problem 4.32, page 2183. A Gaussian random volatage volts is input to a half wave recti±er and the output voltageisVolts wereis the unit step function. Assumehas mean 0 volts andvarianceVolts The output voltage is then applied accross a (nonrandom) resistance ofohms. The answers below should be expressed in terms of the or function or in closedform (no integrels).: you may wish to use the fact that ifis a Gaussian randomvariable then(a) Find the probability that the current which ²ows through the resistor exceeds Amp.(b) Find the probability that the power which is dissipated in the resistor exceeds 1 watt.(c) Find the mean and variance of the current which ²ows through the resistor(d) Find the mean and variance of the power which is dissipated in the resistor.
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