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Byju's Answer
Standard XII
Mathematics
Probability Distribution
The variance ...
Question
The variance of the random variable
x
whose probability distribution is given by
X
=
x
:
0
1
2
3
p
(
X
=
x
)
:
1
3
1
2
0
1
6
A
0.5
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B
1
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C
1.5
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D
2.0
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Solution
The correct option is
B
1
E
[
X
]
=
∑
3
i
=
0
x
i
p
i
=
0
+
1
2
+
0
+
1
2
=
1
E
[
X
2
]
=
∑
3
i
=
0
x
2
p
i
=
0
+
1
2
+
0
+
9
6
=
2
V
a
r
i
a
n
c
e
=
E
[
X
2
]
−
E
[
X
]
2
=
2
−
1
2
=
1
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0
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