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 = 5 X Y and V = 8 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. Find the value of A.

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Chapter1: Combinatorial Analysis
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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 = 5 X Y and V = 8 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 u

for some constants A, B, C. 

Find the value of A. 

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