Let X and Y have the following joint probability density function: fx,y(x,y) = 1 / (x² y²), for x>1, y>1 0, otherwise Let U = 9 X Y and V = 10 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 fuvlu,v) = A vB uC for some constants A, B, C.

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(a)Find the value of A and value of B.
Let X and Y have the following joint probability density function:
fxy(x,y) = 1 / (x² y²), for x>1, y>1
0,
otherwise
Let U = 9 X Y and V = 10 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
fu,v(u,v) = A vB uC
for some constants A, B, C.
Transcribed Image Text:Let X and Y have the following joint probability density function: fxy(x,y) = 1 / (x² y²), for x>1, y>1 0, otherwise Let U = 9 X Y and V = 10 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 fu,v(u,v) = A vB uC for some constants A, B, C.
(b) The support of (U,V), namely the values of u and v that correspond to the non-zero
part of fu,v(u,v) given in part (a), is given by:
u > 0.90 v and v> 10.00
O u>0.90 and v> 10.00
O u> 9.00 and v<1.11 u
None of these answers is correct
O u>9.00 and v> 10.00
Transcribed Image Text:(b) The support of (U,V), namely the values of u and v that correspond to the non-zero part of fu,v(u,v) given in part (a), is given by: u > 0.90 v and v> 10.00 O u>0.90 and v> 10.00 O u> 9.00 and v<1.11 u None of these answers is correct O u>9.00 and v> 10.00
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