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: 1

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Found out the join probability density function, not too sure if thats 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:
1
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: 1
(b) The expression for the joint probability density function of the transformed random variables U = 10 X+Y and V= 8 X+ 2 Y on its support is:
fu,v(u,v) = A u® (C v + D}E
Which values of the constants A, B, C, D, E are correct (in the same order as they appear here)?
O 1/8, 1, 1.25, 1, -2
none of these answers is correct.
O 1/8, 1, 1.25, 1, 2
О 8, 1, 1.25, 1, -2
O 1, 2, 3, 4, 5
О 17, 0, 0, 1, 1
Transcribed Image Text:(b) The expression for the joint probability density function of the transformed random variables U = 10 X+Y and V= 8 X+ 2 Y on its support is: fu,v(u,v) = A u® (C v + D}E Which values of the constants A, B, C, D, E are correct (in the same order as they appear here)? O 1/8, 1, 1.25, 1, -2 none of these answers is correct. O 1/8, 1, 1.25, 1, 2 О 8, 1, 1.25, 1, -2 O 1, 2, 3, 4, 5 О 17, 0, 0, 1, 1
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