Solved: Show that the area under the curve of the power spectral, Electrical Engineering

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Show that the area under the curve of the power spectral

1. A sinusoid generator output voltage is A cos wt . The output is sampled randomly. The sampled output is a random variable X, which can take any value in the range (-A, A).

Determine;

a. Mean.
b. Variance of the sampled output X.

2. Show that the area under the curve of the power spectral density is equal to the total power of the random process,

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