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Question 77 - Week 5 Practice | Prasnya
Q77
00:00
10 Jul 2022
Q77.
Let
X
1
,
X
2
,
…
,
X
30
X_1,X_2,\ldots,X_{30}
X
1
,
X
2
,
…
,
X
30
be i.i.d. Poisson
(
2
)
(2)
(
2
)
, and let
Y
=
∑
i
=
1
30
X
i
Y=\sum_{i=1}^{30}X_i
Y
=
∑
i
=
1
30
X
i
. Using the Central Limit Theorem, find the value of
P
(
Y
>
20
)
P(Y>20)
P
(
Y
>
20
)
.
A
1
−
F
Z
(
−
5
)
1-F_Z(-5)
1
−
F
Z
(
−
5
)
B
1
−
F
Z
(
5
)
1-F_Z(5)
1
−
F
Z
(
5
)
C
F
Z
(
−
0.5
)
F_Z(-0.5)
F
Z
(
−
0.5
)
D
1
−
F
Z
(
0.5
)
1-F_Z(0.5)
1
−
F
Z
(
0.5
)
Save
Check
Details
Q77
00:00
10 Jul 2022
Q77.
Let
X
1
,
X
2
,
…
,
X
30
X_1,X_2,\ldots,X_{30}
X
1
,
X
2
,
…
,
X
30
be i.i.d. Poisson
(
2
)
(2)
(
2
)
, and let
Y
=
∑
i
=
1
30
X
i
Y=\sum_{i=1}^{30}X_i
Y
=
∑
i
=
1
30
X
i
. Using the Central Limit Theorem, find the value of
P
(
Y
>
20
)
P(Y>20)
P
(
Y
>
20
)
.
A
1
−
F
Z
(
−
5
)
1-F_Z(-5)
1
−
F
Z
(
−
5
)
B
1
−
F
Z
(
5
)
1-F_Z(5)
1
−
F
Z
(
5
)
C
F
Z
(
−
0.5
)
F_Z(-0.5)
F
Z
(
−
0.5
)
D
1
−
F
Z
(
0.5
)
1-F_Z(0.5)
1
−
F
Z
(
0.5
)
Save
Check
Details
