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suppose x can take values, x1,x2,x3 and y can take values y1,y2,y3. Their joint distribution p=p(x=xi,y=yi) Z is independent of X an Y and take

suppose x can take values, x1,x2,x3 and y can take values y1,y2,y3. Their joint distribution p=p(x=xi,y=yi) Z is independent of X an Y and take values z1,z2,z3 with probabilities a1,a2,a3. compute E(3Z+2Y\X)?

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