7. Suppose X and Y have the following joint probability mass function. p(1, 1) = 0.10, p(1, 2) = 0.12, p(1,3) = 0.16 p(2, 1) = 0.08, p(2, 2) = 0.12, p(2,3) = 0.10 p(3, 1) = 0.06, p(3, 2) = 0.06, p(3, 3) = 0.20 (a) Find E[X] and E[Y]. (b) Find Var(X) and Var(Y). (c ) Find Cου (Χ, Υ).

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7. Suppose X and Y have the following joint probability mass function.
p(1, 1) = 0.10,
p(1, 2) = 0.12,
p(1,3) = 0.16
p(2, 1) = 0.08,
p(2, 2) = 0.12,
p(2,3) = 0.10
p(3, 1) = 0.06,
p(3, 2) = 0.06,
p(3,3) = 0.20
(a) Find E[X] and E[Y].
(b) Find Var(X) and Var(Y).
(c) Find Cov(X,Y).
(d) Find Corr(X,Y).
Transcribed Image Text:7. Suppose X and Y have the following joint probability mass function. p(1, 1) = 0.10, p(1, 2) = 0.12, p(1,3) = 0.16 p(2, 1) = 0.08, p(2, 2) = 0.12, p(2,3) = 0.10 p(3, 1) = 0.06, p(3, 2) = 0.06, p(3,3) = 0.20 (a) Find E[X] and E[Y]. (b) Find Var(X) and Var(Y). (c) Find Cov(X,Y). (d) Find Corr(X,Y).
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