Let X and Y have the following joint probability density function: fxy(x,y)=1/(x²y²), for x>1, y>1 0, otherwise Let U = 5 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) = A³ C for some constants A. B. C.

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
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Let X and Y have the following joint probability density function:
fxy(x,y)=1/(x²y²),
for x>1, y>1
0,
otherwise
Let U = 5 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 u
for some constants A, B, C.
Find the value of A.
Answer:
Find the value of B.
Answer:
Transcribed Image Text:Let X and Y have the following joint probability density function: fxy(x,y)=1/(x²y²), for x>1, y>1 0, otherwise Let U = 5 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 u for some constants A, B, C. Find the value of A. Answer: Find the value of B. Answer:
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