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6. If $X_{1}, X_{2}, X_{3}$, and $X_{4}$ are (pairwise) uncorrelated random variables, each having mean 0 and variance 1, compute the correlations of (a) $X_{1}+x_{2}$

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6. If $X_{1}, X_{2}, X_{3}$, and $X_{4}$ are (pairwise) uncorrelated random variables, each having mean 0 and variance 1, compute the correlations of (a) $X_{1}+x_{2}$ and $-X_{2}+x_{3}$. (b) $X_{1}+x_{2}+x_{3}$ and $X_{3}+x_{4}$. CS.JG. 083

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