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b) Give an example of X being a uniformly distributed random vector on some set SRn for some n2, for which the coordinate random variables X1,,Xn are not independent. [5 marks] (c) Let X,YL2(P) be independent random variables. Show that if Var(Y)>0, then X+Y and Y are not independent..

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b) Give an example of X being a uniformly distributed random vector on some set SRn for some n2, for which the coordinate random variables X1,,Xn are not independent. [5 marks] (c) Let X,YL2(P) be independent random variables. Show that if Var(Y)>0, then X+Y and Y are not independent.

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  • 1. b) Give an example of X being a uniformly distributed random vector on some set SRn for some n2, for which the coordinate random variables X1,,Xn are not independent. [5 marks] (c) Let X,YL2(P) be independent random variables. Show that if Var(Y)>0, then X+Y and Y are not independent.