Let X be a random variable that takes on the values {-1,0,1,2,3} eac.pdf

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Let X be a random variable that takes on the values {-1,0,1,2,3} each with probability 0.2. Let Y = X^2. What is the conditional expectation of X given that Y=1? Solution if Y = 1 , then X = -1 or 1 , probability for Y=1 is 0.4 , probability for X=-1 if Y=1 is 0.5 , probability for X=-1 if Y=1 is 0.5 ..

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$Let X be a random variable that takes on the values {-1,0,1,2,3} each with probability 0.2. Let Y = X^2. What is the conditional expectation of X given that Y=1? Solution if Y = 1 , then X = -1 or 1 , probability for Y=1 is 0.4 , probability for X=-1 if Y=1 is 0.5 , probability for X=-1 if Y=1 is 0.5 .$

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