An amplifier circuit has po,ver consumption Y that gro,vs

Chapter 9, Problem 9.40

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An amplifier circuit has po,ver consumption Y that gro,vs nonlinearly with the input signal voltage X. \i\fhen the input signal is X volts, the instantaneous po,ver consumed by the amplifier is Y = 20 + 15X 2 Watts. The input signal X is the continuous uniform (-1, 1) random variable. Sampling the input signal every millisecond over a 100-millisecond interval yields the iid signal samples X1, X2, ... , X100- Over the 100 ms interval, you estimate the average power of the amplifier as 1 100 w = 100 :LYi i = l where Yi = 20+ 15Xf . Use the central limit theorem to estimate P [W < 25.4].

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