Question 9 - Week 4 Practice | Prasnya
Prasnya
Continue with Google
Practice route
Week 4
Field
IITM-DS
Exam
Quiz 2
Subject
Statistics 2
Week
Week 4
Question 9 of 29
Practice question
00:00
Est. 3 min
Marks
+3.00
0.00
Question
If
X
∼
E
x
p
(
λ
)
X\sim\mathrm{Exp}(\lambda)
, find the PDF of
Y
=
X
2
Y=X^2
.
Single correct
Medium Difficulty
01 December 2024
A
f
Y
(
y
)
=
λ
e
−
λ
y
2
,
y
>
0
;
0
otherwise
f_Y(y)=\lambda e^{-\lambda y^2},\ y>0;\ 0\text{ otherwise}
B
f
Y
(
y
)
=
λ
2
y
e
−
λ
y
,
y
>
0
;
0
otherwise
f_Y(y)=\frac{\lambda}{2\sqrt y}e^{-\lambda\sqrt y},\ y>0;\ 0\text{ otherwise}
C
f
Y
(
y
)
=
λ
y
e
−
λ
y
,
y
>
0
;
0
otherwise
f_Y(y)=\lambda\sqrt y e^{-\lambda\sqrt y},\ y>0;\ 0\text{ otherwise}
D
f
Y
(
y
)
=
λ
y
e
−
λ
y
,
y
>
0
;
0
otherwise
f_Y(y)=\frac{\lambda}{\sqrt y}e^{-\lambda\sqrt y},\ y>0;\ 0\text{ otherwise}
