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Suppose that X and Y are statistically independent and identically distributed uniform random variables on (0,1). (a) Write down the joint probability density function fxy(x,y) of X and Y on its support. Answer:

Suppose that X and Y are statistically independent and identically distributed uniform random variables on (0,1). (a) Write down the joint probability density function fxy(x,y) of X and Y on its support. Answer:

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 4CR
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part a) Write down the joint probability density function fX,Y(x,y) of X and Y on its support.

part b) Which values of the constants A, B, C, D, E are correct

 

Suppose that X and Y are statistically independent and identically distributed uniform random variables on (0,1). (a) Write down the joint probability density function fxy(x,y) of X and Y on its support. Answer:
Transcribed Image Text:Suppose that X and Y are statistically independent and identically distributed uniform random variables on (0,1). (a) Write down the joint probability density function fxy(x,y) of X and Y on its support. Answer:
(b) The expression for the joint probability density function of the transformed random variables U = 9X+Yand V= 10 X +2 Y on its support is: fuy(u,v) = A uB (C v + D)E Which values of the constants A, B, C, D, E are correct (in the same order as they appear here)? 17,0,0, 1, 1 1/10, 1, 0.90, 1, 2 1, 2, 3, 4, 5 10, 1, 0.90, 1, -2 1/10, 1, 0.90, 1, -2 none of these answers is correct.
Transcribed Image Text:(b) The expression for the joint probability density function of the transformed random variables U = 9X+Yand V= 10 X +2 Y on its support is: fuy(u,v) = A uB (C v + D)E Which values of the constants A, B, C, D, E are correct (in the same order as they appear here)? 17,0,0, 1, 1 1/10, 1, 0.90, 1, 2 1, 2, 3, 4, 5 10, 1, 0.90, 1, -2 1/10, 1, 0.90, 1, -2 none of these answers is correct.
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