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Unformatted text preview: hours? 3. (2 pts) Let X be a uniform random variable in the range [0 , 1] (i.e. a = 0 and b = 1) and let Y = 2 X + 3. Find the cdf, F Y ( y ) of Y . 4. (2 pts) (Textbook exercise 3.56) Suppose that a voltage X is a zero mean Gaussian random variable. Find the pdf of the power dissipated by a R ohm resistor P = RX 2 . 5. (2 pts) (Textbook exercise 3.57) A limiter Y = g ( X ) is shown in Figure 1 (on page 2). a. Find the cdf and pdf of Y in terms of the cdf and pdf of X . b. Find the cdf and pdf of Y if X is a Gaussian random variable with mean m and standard deviation . c. Find the cdf and pdf of Y if the input X = b sin U where U is uniformly distributed in the interval [0 , 2 ]. 1-a a x g(x) a-a Figure 1: Amplitude limiter 2...
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- Fall '08