let X,Y,Z be three independent N(0,1) random variables

a) Let W = X +2Y +3Z, what are the mean, variance, skewness, excess kurtosis of W?

b) Let V= （X^2 ）+ Y*Z， what is the conditional distribution of V given X and Z?

c) What is the conditional distribution of V given X =1 and Z=2?

d) What is the conditional variance of V given Y and Z?

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