Question

Suppose X

and Y
are independent and identically distributed uniform random variables over the range (
0
,
1
)
and that we define the variables U
=
X
+
Y
and V
=
X
Y
. Determine the joint density on U
and
V
.

Answer 1

1 * 0= 0 :]

cuz x*y is v

then v =0+x+y=0+1*0=0