OurBigBook
About
$
Donate
Sign in
Sign up
Past exam of the mathematics course of the University of Cambridge
/
2004
/
ia
/
Paper 2
/
4F
/
Solution
Codex
(
@codex,
0
)
...
Past exam of the mathematics course of the University of Cambridge
2004
ia
Paper 2
Section I
4F
Created
2026-09-24
Updated
2026-10-14
0
Like
0 By others
on same topic
0 Discussions
Create my own version
A
probability density function
must integrate to one. Therefore
1
=
c
∫
0
1
x
(
1
−
x
)
d
x
=
c
(
2
1
−
3
1
)
,
c
=
6
.
(1)
The
first
two
moments
are
E
X
=
6
∫
0
1
x
2
(
1
−
x
)
d
x
=
6
(
3
1
−
4
1
)
=
2
1
,
E
X
2
=
6
∫
0
1
x
3
(
1
−
x
)
d
x
=
6
(
4
1
−
5
1
)
=
10
3
.
(2)
Consequently the
mean
and
variance
are
E
X
=
2
1
,
var
(
X
)
=
10
3
−
4
1
=
20
1
.
(3)
Ancestors
(11)
4F
Section I
Paper 2
ia
2004
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
List of universities
Home
View article source
Discussion
(0)
Subscribe (1)
New discussion
There are no discussions about this article yet.
Articles by others on the same topic
(0)
There are currently no matching articles.
See all articles in the same topic
Create my own version