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Discrete random variable with probability mass function

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Reference no: EM13496108

Suppose that X is a discrete random variable with probability mass function: PX(x)= (1/2)^((2x/ pi)+1) , where x =0, pi/2, pi, 3pi/2, 2pi... , and equals to 0 otherwise.
1. using properties of the expectation operator, calculateE[Y], Var[Y] for the fandom variable Y= sin(X)
2. Find the pmt of Y

Reference no: EM13496108

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