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Question 34 - Week 1 Practice | Prasnya
Q34
00:00
16 Jul 2023
Q34.
Let
X
∼
Binomial
(
n
,
p
)
X\sim\operatorname{Binomial}(n,p)
X
∼
Binomial
(
n
,
p
)
. If the expected value and variance of
X
X
X
are
2
2
2
and
3
2
\frac{3}{2}
2
3
respectively, find the value of
P
(
X
=
2
)
P(X=2)
P
(
X
=
2
)
.
A
7
×
3
6
4
7
\frac{7\times 3^6}{4^7}
4
7
7
×
3
6
B
7
×
3
6
4
8
\frac{7\times 3^6}{4^8}
4
8
7
×
3
6
C
(
8
2
)
×
3
2
4
8
\binom{8}{2}\times\frac{3^2}{4^8}
(
2
8
)
×
4
8
3
2
D
(
4
2
)
×
3
2
4
4
\binom{4}{2}\times\frac{3^2}{4^4}
(
2
4
)
×
4
4
3
2
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Check
Details
Q34
00:00
16 Jul 2023
Q34.
Let
X
∼
Binomial
(
n
,
p
)
X\sim\operatorname{Binomial}(n,p)
X
∼
Binomial
(
n
,
p
)
. If the expected value and variance of
X
X
X
are
2
2
2
and
3
2
\frac{3}{2}
2
3
respectively, find the value of
P
(
X
=
2
)
P(X=2)
P
(
X
=
2
)
.
A
7
×
3
6
4
7
\frac{7\times 3^6}{4^7}
4
7
7
×
3
6
B
7
×
3
6
4
8
\frac{7\times 3^6}{4^8}
4
8
7
×
3
6
C
(
8
2
)
×
3
2
4
8
\binom{8}{2}\times\frac{3^2}{4^8}
(
2
8
)
×
4
8
3
2
D
(
4
2
)
×
3
2
4
4
\binom{4}{2}\times\frac{3^2}{4^4}
(
2
4
)
×
4
4
3
2
Save
Check
Details
