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NDA Math Probability
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© examsnet.com
Question : 67
Total: 100
If the mean and variance of a Binomial variate X are 2 and 1 respectively,then the probability that X takes a values greater than 1 is
[NDA II 2015]
2
3
4
5
7
8
11
16
Validate
Solution:
We have;
n
p
=
2
=
mean
n
p
q
=
1
=
variance
⇒
p
=
1
2
;
q
=
1
2
&
n
=
4
Required probability
=
P
(
x
>
1
)
=
1
−
P
(
x
≤
1
)
=
1
−
[
P
(
x
=
0
)
+
P
(
x
=
1
)
]
=
1
−
[
4
C
0
q
4
+
4
C
1
q
3
p
1
]
=
1
−
5
16
=
11
16
© examsnet.com
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