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Please do by hand. Thanks in advance.

8. Let X and Y be random variables with a bivariate normal distribution with parameters • px = 5 • Ox= 3 • My = 3 • Oy = 2 •

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8_a). . . E (2) E (4x=x) = 4ECX) -EQ%)= 4 lly-dey - - 4x 5 – 3 = 17 22.4 Cov. (x,y) = p. of. Ty = 0.4 x 3 x 2 = 2.1 Vou (z)

d) it x and I ove jointly Normal , then given X=X, Vis _ normally distributed with - Efylx==3= My+PDF Kindley = 3 +64 x2 e 4

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