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If XN(2,3),YN(1,4),ZN(3,5), and X and Y and Z are independent, what are the distribution,
expectation and variance of S=4X3Y+2Z ? Notation: N(3,4) is a Normal RV with mean 3 and
variance 4 .

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If XN23YN14ZN35 and X and Y and Z are independen.pdf

  • 1. If XN(2,3),YN(1,4),ZN(3,5), and X and Y and Z are independent, what are the distribution, expectation and variance of S=4X3Y+2Z ? Notation: N(3,4) is a Normal RV with mean 3 and variance 4 .