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JEE Main Math Class 12 Probability Part 2 Questions
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© examsnet.com
Question : 5
Total: 95
Let the mean and the standard deviation of the probability distribution
X
α
1
0
-3
P(X)
1/3
K
1/6
1/4
be
µ
and
σ
, respectively. If
σ
−
µ
=
2
, then
σ
+
µ
is equal to ______.
[5 Apr 2024 Shift 2]
Your Answer:
Validate
Solution:
👈: Video Solution
1
3
+
k
+
1
6
+
1
4
=
1
⇒
k
=
1
4
µ
=
α
3
+
1
4
−
3
4
µ
=
α
3
−
1
2
σ
=
√
(
α
2
1
3
+
1
4
+
9
1
4
)
−
(
α
3
−
1
2
)
2
σ
=
√
2
α
2
9
+
α
3
+
9
4
σ
=
µ
+
2
σ
2
=
(
µ
+
2
)
2
⇒
2
α
2
9
+
α
3
+
9
4
=
α
2
9
+
9
4
+
α
α
2
9
−
2
α
3
=
0
α
=
0
,
(
reject) or
α
=
6
(
∵
x
=
0
is already given
)
⇒
σ
+
µ
=
2
µ
+
2
=
5
© examsnet.com
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