Random variables XX and YY are uniformly distributed on the set:
D={(x,y):1⩽x⩽2, 0⩽y⩽2, x⩽y}D={(x,y):1⩽x⩽2, 0⩽y⩽2, x⩽y}
I have determined the joint PDF of X and Y but I'm not sure if it's right. I drew a picture and the area of D seems to be a rectangle with an area of 2. Therefore, the PDF would be 1/area, so 1/2. Is this right?
D={(x,y):1⩽x⩽2, 0⩽y⩽2, x⩽y}D={(x,y):1⩽x⩽2, 0⩽y⩽2, x⩽y}
I have determined the joint PDF of X and Y but I'm not sure if it's right. I drew a picture and the area of D seems to be a rectangle with an area of 2. Therefore, the PDF would be 1/area, so 1/2. Is this right?