(b) The support of (U,V), namely the values of u and v that correspond to the non-zero part of fuv(u,v) given in part (a), is given by: O u> 1.25 v and v> 8.00 O u> 10.00 and v> 8.00 O u> 10.00 and v< 0.80 u O u> 1.25 and v> 8.00 None of these answers is correct

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Find the value of A and B

Let X and Y have the following joint probability density function:
fxy(x,y) = 1/ (x² y²), forx-1, y>1
0,
otherwise
Let U = 10 XY 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 v³ 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), forx-1, y>1 0, otherwise Let U = 10 XY 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 v³ 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 fuv(u,v) given in part (a), is given by:
O u> 1.25 v and v> 8.00
O u> 10.00 and v> 8.00
O u> 10.00 and v< 0.80 u
O u> 1.25 and v> 8.00
None of these answers is correct
Transcribed Image Text:(b) The support of (U,V), namely the values of u and v that correspond to the non-zero part of fuv(u,v) given in part (a), is given by: O u> 1.25 v and v> 8.00 O u> 10.00 and v> 8.00 O u> 10.00 and v< 0.80 u O u> 1.25 and v> 8.00 None of these answers is correct
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