Question: Suppose that Y and Z are discretely distributed, with distribution given by: j 1 1 1 2 2 2 l 1 2 3 1

Suppose that Y and Z are discretely distributed, with distribution given by: j 1 1 1 2 2 2 l 1 2 3 1 2 IN 3 a; = Y; 2 2 2 4 4 4 b= Z 3 7 8 3 7 8 Pje 5/29 3/29 2/29 6/29 9/29 4/29 a. Give an explicit numerical expression for E(Y) and for E(Z). b. Give an explicit numerical expression for var(Y) and for var(Z). c. Give an explicit numerical expression for cov(Y,Z).

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