Let X and Y have the following joint probability density function: f X,Y ( x,y ) = 1 / ( x 2 y 2 ), for x >1, y >1 0, otherwise Let U = 5 X Y and V = 3 X. In all question parts below, give your...

Let X and Y have the following joint probability density function:

f_X,Y(x,y) = 1 / (x
²y
²),   for
x>1,
y>1

                   0,                   otherwise

Let U = 5 X Y and V = 3 X.

In all question parts below, give your answers to three decimal places (where appropriate).

(a) The non-zero part of the joint probability density function of U and V is given by

f_U,V(u,v) = A
v
^Bu
^C

for some constants A, B, C.


Find the value of A =

Find the value of B =

(b)The support of (U,V), namely the values ofu andv that correspond to the non-zero part of f_U,V(u,v) given in part (a), is given by