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The continuous random variables Y 1 and Y 2 have joint probability density function: f(y 1 , y 2 ) = 6/ 7 (y 1

The continuous random variables Y1 and Y2 have joint probability density function:

f(y1, y2) = 6/ 7 (y12 +(y1y2/2)) ,if 0 y1 1 and 0 y2 2

0 , otherwise ,

(i) Calculate P(Y1 < 2Y2).

(ii) Calculate E[Y1Y2]

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