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Unformatted text preview: 3. Find the values of constants a and b such that: F X (x) = [1  aEXP(x/b)]u(x) Is a valid distribution function {note that u(x) is the unit step function} ECE757Practice Problems SOLUTIONS 4. The pdf of a random variable X is given by: = otherwise b x a k x f X ) ( Where, k, is a constant. a) Determine the value of k. b) Let a = 1 and b = 2. Calculate P[X c] for c=1/2 5. Let X and Y be defined by: X=cos( ) and Y=sin( ), where is a random variable uniformly distributed over [0, 2 ]. a) Show that X and Y are uncorrelated b) Show that X and Y are not independent. 6. Consider a random process X(t) given by: X(t)=Acos( t+ ), Where, A and are constants and is a uniform random variable over [ , ]. Show that X(t) is Wide Sense Stationary. ECE757Practice Problems...
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 Spring '09
 messner

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