Question 6 - Week 2 Practice | Prasnya
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Week 2
Question 6
00:00
Est. 2 min
Marks:
+3.00
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Let
X
1
,
X
2
X_1,X_2
and
X
3
X_3
be three independent and identically distributed Poisson random variables with mean
λ
=
3
\lambda=3
. Find the probability that exactly one of the
X
i
X_i
is equal to
0
0
, and the other two variables are greater than
1
1
.
Single correct
Medium Difficulty
13 July 2025
A
3
e
−
3
(
1
−
4
e
−
3
)
2
3e^{-3}(1-4e^{-3})^2
B
6
e
−
3
(
1
−
4
e
−
3
)
6e^{-3}(1-4e^{-3})
C
e
−
3
(
1
−
4
e
−
3
)
2
e^{-3}(1-4e^{-3})^2
D
6
e
−
6
(
1
−
4
e
−
3
)
2
6e^{-6}(1-4e^{-3})^2