a)Find the value of B. 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?
a)Find the value of B. 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?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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Question
a)Find the value of B.
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?
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 >1.25 and v> 8.00
u> 1.25 v and v> 8.00
Ou>10.00 and v> 8.00
O None of these answers is correct
u> 10.00 and v<0.80 u
Transcribed Image Text: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 = 10 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 v³ uc
for some constants A, B, C.
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