(b) The expression for the joint probability density function of the transformed random variables U = 9X + Y and V = 10 X + 2 Y on its support is: fu,v(u,v) = Au (Cv+ D)E Which values of the constants A, B, C, D, E are correct (in the same order as they appear here)? O 17, 0, 0, 1, 1 O 10, 1, 0.90, 1, -2 O 1/10, 1, 0.90, 1, -2 O 1/10, 1, 0.90, 1, 2 O2, 4, 6, 8, 10 none of these answers is correct.

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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 fx,y(x,y) of X and Y on its support.
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 fx,y(x,y) of X and Y on its support.
(b) The expression for the joint probability density function of the transformed random variables U = 9 X + Y and V = 10 X + 2 Y on its support is:
fu,v(u, v) = A u³ (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 17, 0, 0, 1, 1
O 10, 1, 0.90, 1, -2
O
1/10, 1, 0.90, 1, -2
1/10, 1, 0.90, 1, 2
2, 4, 6, 8, 10
none of these answers is correct.
Transcribed Image Text:(b) The expression for the joint probability density function of the transformed random variables U = 9 X + Y and V = 10 X + 2 Y on its support is: fu,v(u, v) = A u³ (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 17, 0, 0, 1, 1 O 10, 1, 0.90, 1, -2 O 1/10, 1, 0.90, 1, -2 1/10, 1, 0.90, 1, 2 2, 4, 6, 8, 10 none of these answers is correct.
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