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Let X and Y have the following joint probability density function: fxy(x,y) = 1/ (x² y), for x>1, y>1 0, otherwise Let U =9XY 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,vlu,v) = A v® uC for some constants A, B, C.

Let X and Y have the following joint probability density function: fxy(x,y) = 1/ (x² y), for x>1, y>1 0, otherwise Let U =9XY 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,vlu,v) = A v® uC for some constants A, B, C.

A First Course in Probability (10th Edition)
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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part a) find the values of the constants A and B
part b) choose the correct values for u and v

Let X and Y have the following joint probability density function: fxy(x,y) = 1/ (x² y), for x>1, y>1 0, otherwise Let U = 9XY 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,vlu,v) = A v® 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 y), for x>1, y>1 0, otherwise Let U = 9XY 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,vlu,v) = A v® 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 fuy(u,v) given in part (a), is given by: u> 9.00 and v> 10.00 u>0.90 v and v> 10.00 u> 9.00 and v<1.11 u None of these answers is correct u> 0.90 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 fuy(u,v) given in part (a), is given by: u> 9.00 and v> 10.00 u>0.90 v and v> 10.00 u> 9.00 and v<1.11 u None of these answers is correct u> 0.90 and v > 10.00
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