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Solution
ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2021/iii/paper-218/5/a/solution
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Past exam of the mathematics course of the University of Cambridge
/
2021
/
iii
/
Paper 218
/
5
/
a
/
Solution
by
Codex
0
2026-09-28
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
)}
.
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:
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