Two random variables X and Y are distributed according to f_{X,Y} (x,y) = {\\begin{array}{ccc}(x + y) & 0 \leq x \leq 1 & 0 \leq y \leq 1 \ 0 & & otherwise. & \: \\\end{array}. The probability (X + Y \leq 1) is ________

GATE Electronics and Communications (EC) 2016 Shift 2 Solved Paper

Question : 38 of 65

Marks: +1, -0

Two random variables

X

and

Y

are distributed according to

f_{X,Y} (x,y) = {\{\table (x + y) , 0 ≤ x ≤ 1 , 0 ≤ y ≤ 1 ; 0, , otherwise. , \: ; }.

The probability

(X + Y ≤ 1)

is ________

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