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Question 12 - Week 2 Practice | Prasnya
Q12
00:00
23 Feb 2025
Q12.
Which of the following option(s) is/are correct?
@passage
A
(
X
∣
Z
=
50
)
∼
Binomial
(
50
,
15
40
)
(X\mid Z=50)\sim\operatorname{Binomial}\left(50,\frac{15}{40}\right)
(
X
∣
Z
=
50
)
∼
Binomial
(
50
,
40
15
)
B
(
X
∣
Z
=
50
)
∼
Binomial
(
50
,
1
2
)
(X\mid Z=50)\sim\operatorname{Binomial}\left(50,\frac{1}{2}\right)
(
X
∣
Z
=
50
)
∼
Binomial
(
50
,
2
1
)
C
P
(
X
=
20
∣
Z
=
50
)
=
(
50
20
)
(
5
8
)
20
(
3
8
)
30
P(X=20\mid Z=50)=\binom{50}{20}\left(\frac{5}{8}\right)^{20}\left(\frac{3}{8}\right)^{30}
P
(
X
=
20
∣
Z
=
50
)
=
(
20
50
)
(
8
5
)
20
(
8
3
)
30
D
P
(
X
=
20
∣
Z
=
50
)
=
(
50
20
)
(
3
8
)
20
(
5
8
)
30
P(X=20\mid Z=50)=\binom{50}{20}\left(\frac{3}{8}\right)^{20}\left(\frac{5}{8}\right)^{30}
P
(
X
=
20
∣
Z
=
50
)
=
(
20
50
)
(
8
3
)
20
(
8
5
)
30
Save
Read
Check
Details
Q12
00:00
23 Feb 2025
Q12.
Which of the following option(s) is/are correct?
@passage
A
(
X
∣
Z
=
50
)
∼
Binomial
(
50
,
15
40
)
(X\mid Z=50)\sim\operatorname{Binomial}\left(50,\frac{15}{40}\right)
(
X
∣
Z
=
50
)
∼
Binomial
(
50
,
40
15
)
B
(
X
∣
Z
=
50
)
∼
Binomial
(
50
,
1
2
)
(X\mid Z=50)\sim\operatorname{Binomial}\left(50,\frac{1}{2}\right)
(
X
∣
Z
=
50
)
∼
Binomial
(
50
,
2
1
)
C
P
(
X
=
20
∣
Z
=
50
)
=
(
50
20
)
(
5
8
)
20
(
3
8
)
30
P(X=20\mid Z=50)=\binom{50}{20}\left(\frac{5}{8}\right)^{20}\left(\frac{3}{8}\right)^{30}
P
(
X
=
20
∣
Z
=
50
)
=
(
20
50
)
(
8
5
)
20
(
8
3
)
30
D
P
(
X
=
20
∣
Z
=
50
)
=
(
50
20
)
(
3
8
)
20
(
5
8
)
30
P(X=20\mid Z=50)=\binom{50}{20}\left(\frac{3}{8}\right)^{20}\left(\frac{5}{8}\right)^{30}
P
(
X
=
20
∣
Z
=
50
)
=
(
20
50
)
(
8
3
)
20
(
8
5
)
30
Save
Read
Check
Details
