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Byju's Answer
Standard XII
Mathematics
Conditional Probability
If a random v...
Question
If a random variable X has the following probability distribution:
X: 0 1 2 3
P(X):
1
5
3
10
2
5
1
10
Then, E(X
2
) =______________.
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Solution
For random variable X
X
P(X)
X
2
0
1
5
0
1
3
10
1
2
2
5
4
3
1
10
9
E
X
2
=
∑
i
=
1
4
x
2
p
x
=
0
×
1
5
+
1
×
3
10
+
4
×
2
5
+
9
×
1
10
=
3
10
+
8
5
+
9
10
=
3
+
16
+
9
10
=
28
10
i
.
e
E
X
2
=
14
5
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0
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