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QUESTION
Let X,Y be continuous r.s with the following joint probability density function: f X,Y ( x,y ) = { ke x x 0 x, 0 | y | x ; 0 otherwise. (a) Find...
Let
X,Y
be continuous r.v.s with the following joint probability density function:
f
X,Y
(
x,y
) =
{
ke
−
x
√
x
0
< x,
0
≤|
y
|≤
√
x
;
0
otherwise.
(a) Find the constant
k
.
(b) Find the marginal density
f
X
(
x
)
and identify the distribution of
X
.
