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Byju's Answer
Standard XII
Mathematics
Probability Distribution
Find the vari...
Question
Find the variance and standard deviation of the random variable
X
whose probability distribution is given below:
x
0
1
2
3
P
(
X
=
x
)
1
8
3
8
3
8
1
8
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Solution
Let mean of
X
be
μ
∴
μ
=
∑
3
x
=
0
X
×
P
(
X
)
=
12
8
=
3
2
∴
Var
(
X
)
=
σ
2
=
∑
3
x
=
0
X
2
×
P
(
X
)
−
μ
2
=
24
8
−
9
4
=
3
4
∴
Standard Deviation
=
σ
=
√
Var
(
X
)
=
√
3
4
=
√
3
2
These are the required answers.
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