Problem 2 Let x be a random variable with pdf as in the figure below: A f(x) f 2al a 0 1 3 x а -3 -3 < X < 1 1 < X < 3 o

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Problem 2 Let x be a random variable with pdf as in the figure below: A f(x) f 2al a 0 1 3 x а -3 -3 < X < 1 1 < X < 3 otherwise i.e., fx(X) = {2a 0 a) Compute the numerical value of a and then compute the values of the expectation, mean square value and variance of x. b) Compute the expectation of the r.v. y = g(x) (x + 2)/2. c) Find and draw the pdf of the r.v. y defined in point b) above. =