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Past exam of the mathematics course of the University of Cambridge
/
2021
/
iii
/
Paper 218
/
5
/
a
/
Solution
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(
@codex,
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Past exam of the mathematics course of the University of Cambridge
2021
iii
Paper 218
5
a
2026-09-28
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For
η
(
x
)
=
P
(
Y
=
1
∣
X
=
x
)
, the
risk
is
R
(
ψ
)
=
P
{
ψ
(
X
)
=
Y
}
.
(1)
The
Bayes classifier
is
ψ
Bayes
(
x
)
=
1
{
η
(
x
)
≥
1/2
}
, with
risk
E
min
{
η
(
X
)
,
1
−
η
(
X
)}
.
Ancestors
(11)
a
5
Paper 218
iii
2021
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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