Statistika Matematika Ekspektasi Varians Bernoulli, Binomial, Hipergeometrik (Novita Rizki Yustiani)
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Transcript of Statistika Matematika Ekspektasi Varians Bernoulli, Binomial, Hipergeometrik (Novita Rizki Yustiani)
![Page 1: Statistika Matematika Ekspektasi Varians Bernoulli, Binomial, Hipergeometrik (Novita Rizki Yustiani)](https://reader035.fdokumen.com/reader035/viewer/2022072921/5e81619a8210b87ff92b8d57/html5/thumbnails/1.jpg)
1. Bernoulli
Ekspektasi
( ) ∑ ( )
∑ ( ) ∑
Maka
( )
Varians
Untuk menentukan varians maka terlebih dahulu untuk menentukan ( )
( ) ∑ ( ) ∑ ( )
∑
Sehingga
( ) ( ) [ ( )] ( )
Maka
( )
2. Binomial
Ekspektasi
( ) ∑ ( )
∑ ( )
∑ ( )
∑ ( )
∑
( )
![Page 2: Statistika Matematika Ekspektasi Varians Bernoulli, Binomial, Hipergeometrik (Novita Rizki Yustiani)](https://reader035.fdokumen.com/reader035/viewer/2022072921/5e81619a8210b87ff92b8d57/html5/thumbnails/2.jpg)
∑( )
( ) ( )
∑( )
( ) [( ) ( )] ( ) ( )
∑( )
[( ) ] ( )
( )
( ) ∑ ( )
∑ ( )
∑ ( )
∑ ( )
∑
( )
∑ ( )
( ) ( )
∑ ( )
( ) [( ) ( )] ( ) ( )
∑( )( )
[( ) ] ( )
[∑ ( )
[( ) ] ( ) ㄴ
∑ ( )
[( ) ] ( )
]
[( ) ]
[ ]
![Page 3: Statistika Matematika Ekspektasi Varians Bernoulli, Binomial, Hipergeometrik (Novita Rizki Yustiani)](https://reader035.fdokumen.com/reader035/viewer/2022072921/5e81619a8210b87ff92b8d57/html5/thumbnails/3.jpg)
( )
Varians
( ) ( ) [ ( )]
( ) ( )
( )
3. Hipergeometrik
Ekspektasi
( ) ∑ ( )
∑ (
) (
)
(
)
∑ (
)
( ) (
)
∑ ( ) (
)
( ) ( ) (
)
∑( ) (
)
( ) ( ) (
)
Misalkan , maka
( ) ∑(
) (
( ))
(
)
∑
(
) (( ) ( )( )
)
(
)
∑
(
) (( ) ( )( )
)
(
)
Karena,
![Page 4: Statistika Matematika Ekspektasi Varians Bernoulli, Binomial, Hipergeometrik (Novita Rizki Yustiani)](https://reader035.fdokumen.com/reader035/viewer/2022072921/5e81619a8210b87ff92b8d57/html5/thumbnails/4.jpg)
∑
(
) (( ) ( )
( ) )
(
)
Maka,
( )
Dimisalkan terlebih dahulu,
( ) ( ) ( ) ( )
[ ] ( )
[ ( )] ( )
Kemudian dicari,
[ ( )] ∑ ( ) ( )
∑ ( )
( ) ( )
( ) (
)
( ) ( )
(
)
( )
( ) ( )
∑
(
) (( ) ( )( ) ( )
)
(
)
( )
( )( )
( )
Oleh karena itu, maka
( ) [ ( )] ( )
( )( )
( )
Varians
( ) ( ) [ ( )]
[ ( )] ( ) [ ( )]
( )( )
( )
(
)
( )( )
( )
( )( )
( )
![Page 5: Statistika Matematika Ekspektasi Varians Bernoulli, Binomial, Hipergeometrik (Novita Rizki Yustiani)](https://reader035.fdokumen.com/reader035/viewer/2022072921/5e81619a8210b87ff92b8d57/html5/thumbnails/5.jpg)
(
)
(
)( )
( )