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# 7 Let X Exponential(3) and Y Poisson(5). Assume X and Y are independent. Let Z = X + Y . (a) Compute Cov( X , Z ). (b) Compute Corr( X , Z ).

3.3.7 Let X ∼ Exponential(3) and Y ∼ Poisson(5). Assume X and Y are independent. Let Z = X + Y .

(a) Compute Cov(X, Z).

(b) Compute Corr(X, Z).