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JEE Main Math Class 12 Probability Part 2 Questions
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© examsnet.com
Question : 50
Total: 95
In a binomial distribution
B
(
n
,
p
)
, the sum and product of the mean & variance are 5 and 6 respectively, then find
6
(
n
+
p
−
q
)
is equal to :-
[1-Feb-2023 Shift 1]
51
52
53
50
Validate
Solution:
n
p
+
n
p
q
=
5
,
n
p
⋅
n
p
q
=
6
n
p
(
1
+
q
)
=
5
,
n
2
p
2
q
=
6
n
2
p
2
(
1
+
q
)
2
=
25
,
n
2
p
2
q
=
6
6
q
(
1
+
q
)
2
=
25
6
q
2
+
12
q
+
6
=
25
q
6
q
2
−
13
q
+
6
=
0
6
q
2
−
9
q
−
4
q
+
6
=
0
(
3
q
−
2
)
(
2
q
−
3
)
=
0
q
=
2
3
,
3
2
,
q
=
2
3
is accepted
p
=
1
3
⇒
n
⋅
1
3
+
n
⋅
1
3
⋅
2
3
=
5
3
n
+
2
n
9
=
5
n
=
9
So
6
(
n
+
p
−
q
)
=
6
(
9
+
1
3
−
2
3
)
=
52
© examsnet.com
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