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Question 19 - Week 4 Practice | Prasnya
Q19
00:00
7 Jul 2024
Q19.
Calculate the CDF of
X
X
X
.
@passage
A
F
X
(
x
)
=
0
F_X(x)=0
F
X
(
x
)
=
0
for
x
<
0
x<0
x
<
0
;
4
x
3
−
3
x
4
4x^3-3x^4
4
x
3
−
3
x
4
for
0
≤
x
<
1
0\le x<1
0
≤
x
<
1
;
1
1
1
for
x
≥
1
x\ge1
x
≥
1
B
F
X
(
x
)
=
0
F_X(x)=0
F
X
(
x
)
=
0
for
x
<
0
x<0
x
<
0
;
1
12
(
x
3
3
−
x
4
4
)
\frac{1}{12}\left(\frac{x^3}{3}-\frac{x^4}{4}\right)
12
1
(
3
x
3
−
4
x
4
)
for
0
≤
x
<
1
0\le x<1
0
≤
x
<
1
;
1
1
1
for
x
≥
1
x\ge1
x
≥
1
C
F
X
(
x
)
=
0
F_X(x)=0
F
X
(
x
)
=
0
for
x
<
0
x<0
x
<
0
;
24
x
−
36
x
2
24x-36x^2
24
x
−
36
x
2
for
0
≤
x
<
1
0\le x<1
0
≤
x
<
1
;
1
1
1
for
x
≥
1
x\ge1
x
≥
1
D
F
X
(
x
)
=
0
F_X(x)=0
F
X
(
x
)
=
0
for
x
<
0
x<0
x
<
0
;
x
6
−
x
2
4
\frac{x}{6}-\frac{x^2}{4}
6
x
−
4
x
2
for
0
≤
x
<
1
0\le x<1
0
≤
x
<
1
;
1
1
1
for
x
≥
1
x\ge1
x
≥
1
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Q19
00:00
7 Jul 2024
Q19.
Calculate the CDF of
X
X
X
.
@passage
A
F
X
(
x
)
=
0
F_X(x)=0
F
X
(
x
)
=
0
for
x
<
0
x<0
x
<
0
;
4
x
3
−
3
x
4
4x^3-3x^4
4
x
3
−
3
x
4
for
0
≤
x
<
1
0\le x<1
0
≤
x
<
1
;
1
1
1
for
x
≥
1
x\ge1
x
≥
1
B
F
X
(
x
)
=
0
F_X(x)=0
F
X
(
x
)
=
0
for
x
<
0
x<0
x
<
0
;
1
12
(
x
3
3
−
x
4
4
)
\frac{1}{12}\left(\frac{x^3}{3}-\frac{x^4}{4}\right)
12
1
(
3
x
3
−
4
x
4
)
for
0
≤
x
<
1
0\le x<1
0
≤
x
<
1
;
1
1
1
for
x
≥
1
x\ge1
x
≥
1
C
F
X
(
x
)
=
0
F_X(x)=0
F
X
(
x
)
=
0
for
x
<
0
x<0
x
<
0
;
24
x
−
36
x
2
24x-36x^2
24
x
−
36
x
2
for
0
≤
x
<
1
0\le x<1
0
≤
x
<
1
;
1
1
1
for
x
≥
1
x\ge1
x
≥
1
D
F
X
(
x
)
=
0
F_X(x)=0
F
X
(
x
)
=
0
for
x
<
0
x<0
x
<
0
;
x
6
−
x
2
4
\frac{x}{6}-\frac{x^2}{4}
6
x
−
4
x
2
for
0
≤
x
<
1
0\le x<1
0
≤
x
<
1
;
1
1
1
for
x
≥
1
x\ge1
x
≥
1
Save
Read
Check
Details
