Let X and Y have the following joint probability density function: ficylx,y) = 1 / (x² y²), for-1, y>1 0, otherwise Let U = 6 XY and V = 6 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 fuylu,v) = A v® uC 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 of u and v that correspond to the non-zero part of fyylu,v) given in part (a), is given by: O u>1.00 and v>6.00 O u> 6.00 and v< 1.00 u O u>6.00 and v> 6.00 O u>1.00 v and v>6.00 O None of these answers is correct
Let X and Y have the following joint probability density function: ficylx,y) = 1 / (x² y²), for-1, y>1 0, otherwise Let U = 6 XY and V = 6 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 fuylu,v) = A v® uC 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 of u and v that correspond to the non-zero part of fyylu,v) given in part (a), is given by: O u>1.00 and v>6.00 O u> 6.00 and v< 1.00 u O u>6.00 and v> 6.00 O u>1.00 v and v>6.00 O None of these answers is correct
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:Let X and Y have the following joint probability density function:
ficylx,y) = 1 / (x² y²), for-1, y>1
0,
otherwise
Let U = 6 XY and V = 6 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
fuylu,v) = A v® uC
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 of u and v that correspond to the non-zero part of fyylu,v) given in part (a), is given by:
O u>1.00 and v>6.00
O u> 6.00 and v< 1.00 u
O u>6.00 and v> 6.00
O u>1.00 v and v>6.00
O None of these answers is correct
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