Question 11 - Week 4 Practice | Prasnya
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Week 4
Question 11
00:00
Est. 2 min
Marks:
+2.00
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Passage
Based on the above data, answer the given subquestions. The PDF of a random variable
X
X
is given as
f
X
(
x
)
=
a
e
−
3
x
f_X(x)=ae^{-3x}
,
x
≥
0
x\ge0
, and
0
0
otherwise.
Question
What is the CDF of
X
X
?
Comprehension
Medium Difficulty
23 February 2025
A
F
X
(
x
)
=
e
−
3
x
,
x
≥
0
;
0
otherwise
F_X(x)=e^{-3x},\ x\ge0;\ 0\ \text{otherwise}
B
F
X
(
x
)
=
1
−
e
−
3
x
,
x
≥
0
;
0
otherwise
F_X(x)=1-e^{-3x},\ x\ge0;\ 0\ \text{otherwise}
C
F
X
(
x
)
=
e
3
x
,
x
≥
0
;
0
otherwise
F_X(x)=e^{3x},\ x\ge0;\ 0\ \text{otherwise}
D
F
X
(
x
)
=
1
−
e
3
x
,
x
≥
0
;
0
otherwise
F_X(x)=1-e^{3x},\ x\ge0;\ 0\ \text{otherwise}
