Suppose X represents a point picked at random from the interval [0.1] on the x-axis and Y is a point picked at random from the interval [0,1] on the y-axis. Assume that X and Y are independant. What is the expected value of the area of the triangle formed by points (X,0),(0,Y), and (0,0).'
Th answer is 1/8. Please show how to get the answer.