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Q28Section ST (Statistics (Q11–Q65))28 of 65

Variance sum from a joint density

Let XX and YY be two continuous random variables having the following joint probability density function f(x,y)={x+y,0<x<1,  0<y<1 0,otherwisef(x, y) = \begin{cases} x + y, & 0 < x < 1, \; 0 < y < 1 \ 0, & \text{otherwise} \end{cases}. Then 72(Var⁡(X)+Var⁡(Y))72(\operatorname{Var}(X) + \operatorname{Var}(Y)) equals ________ (answer in integer).

Numerical answer: type the number (no options).

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