Question 12 - Week 4 Practice | Prasnya
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Week 4
Question 12
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 value of
P
(
−
4
<
X
≤
6
)
P(-4<X\le6)
?
Comprehension
Medium Difficulty
23 February 2025
A
e
−
12
−
e
−
18
e^{-12}-e^{-18}
B
1
−
e
−
18
1-e^{-18}
C
e
−
18
−
e
−
12
e^{-18}-e^{-12}
D
e
−
12
e^{-12}