(13) For the conditional density given in problem (11) above obtain Var(X|Y = y) for y E (0, 1). The following expressions are proposed. * - { 20+y+y? } 3(1+y) 1+y? (a) Var(X|Y = y) = %3D
(13) For the conditional density given in problem (11) above obtain Var(X|Y = y) for y E (0, 1). The following expressions are proposed. * - { 20+y+y? } 3(1+y) 1+y? (a) Var(X|Y = y) = %3D
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Please just answer problem 13. Problem 11 is attached to help you.
![(13) For the conditional density given in problem (11) above obtain Var(X|Y = y) for y E (0, 1).
The following expressions are proposed.
1+y?
2
2(1+y+y?)
(a) Var(X|Y = y) =
3(1+y)
1+y?
(b) Var(X|Y = y) =
S 2y2
3(1+y)
-
1+y?
(c) Var(X|Y = y) =
3(1+y)
1-y2
(d) Var(X|Y = y) =
S 2(1+y+y³) ]´
2
3(1+y)
(e) None of the above
(a)
(b)
(c)
(d)
(e)
N/A
(Select One)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6214fda8-f992-4e88-b320-5195339361f5%2Ffe8f1e2b-5608-4269-9cab-f0092664958c%2Fune4vmn_processed.png&w=3840&q=75)
Transcribed Image Text:(13) For the conditional density given in problem (11) above obtain Var(X|Y = y) for y E (0, 1).
The following expressions are proposed.
1+y?
2
2(1+y+y?)
(a) Var(X|Y = y) =
3(1+y)
1+y?
(b) Var(X|Y = y) =
S 2y2
3(1+y)
-
1+y?
(c) Var(X|Y = y) =
3(1+y)
1-y2
(d) Var(X|Y = y) =
S 2(1+y+y³) ]´
2
3(1+y)
(e) None of the above
(a)
(b)
(c)
(d)
(e)
N/A
(Select One)

Transcribed Image Text:(11) When the conditional density of X given Y = y E (0, 1) is
2x
fx\Y=y (x) =
y < x < 1.
1 – y² ’
Compute E(X|Y = 0.25).
0.7
0.25
0.75
None of the above
N/A
(Select One)
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