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Distributionshard
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Let X∼N(0,1)X \sim N(0, 1)X∼N(0,1), and let SSS be a random variable independent of XXX such that P(S=1)=0.5P(S = 1) = 0.5P(S=1)=0.5 and P(S=−1)=0.5P(S = -1) = 0.5P(S=−1)=0.5. Define Y=SXY = S XY=SX. Which of the following statements is FALSE?