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Past exam of the mathematics course of the University of Cambridge
/
2025
/
iii
/
Paper 224
/
4
/
b
/
Solution
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Past exam of the mathematics course of the University of Cambridge
2025
iii
Paper 224
4
b
Created
2026-09-24
Updated
2026-09-25
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For the distribution
Q
C
from part (
a)
,
L
(
x
)
=
−
lo
g
2
Q
C
(
x
)
−
lo
g
2
K
.
(1)
Therefore
E
P
L
(
X
)
=
H
(
P
)
+
D
(
P
∥
Q
C
)
−
lo
g
2
K
≥
H
(
P
)
,
(2)
by
Gibbs inequality
and
K
≤
1
.
Ancestors
(11)
b
4
Paper 224
iii
2025
Past exam of the mathematics course of the University of Cambridge
Mathematics course of the University of Cambridge
Course of the University of Cambridge
University of Cambridge
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