A point is selected at random in the square [-1,1]×[-1,1]. Let X and Y represent the x- and y-coordinates of the point, respectively. What is probability of the following events,
(a) $E = \left\{ x + y

Question

A point is selected at random in the square [-1,1]×[-1,1]. Let X and Y represent the x- and y-coordinates of the point, respectively. What is probability of the following events, 
(a) $E = \left\{ x + y < \frac { 1 } { 2 } \right\}$ ; 
(b) F={|X|+|y|<1}?

Quizplus · Accepted Answer

The Answer of A point is selected at random in the square [-1,1]×[-1,1]. Let X and Y represent the x- and y-coordinates of the point, respectively. What is probability of the following events, 
(a) $E = \left\{ x + y < \frac { 1 } { 2 } \right\}$ ; 
(b) F={|X|+|y|<1}?

A Point Is Selected at Random in the Square [-1,1]×[-1,1] E={x+y<12}E = \left\{ x + y < \frac { 1 } { 2 } \right\}E={x+y<21​}

A Point Is Selected at Random in the Square [-1,1]×[-1,1] $E = \left\{ x + y < \frac { 1 } { 2 } \right\}$