PELUANG BERSYARAT DISKRIT Probabilitas Dan Statistika
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Transcript of PELUANG BERSYARAT DISKRIT Probabilitas Dan Statistika
![Page 1: PELUANG BERSYARAT DISKRIT Probabilitas Dan Statistika](https://reader036.fdocuments.net/reader036/viewer/2022082316/544a7d19b1af9f0f568b4aeb/html5/thumbnails/1.jpg)
PELUANG BERSYARAT DISKRIT
![Page 2: PELUANG BERSYARAT DISKRIT Probabilitas Dan Statistika](https://reader036.fdocuments.net/reader036/viewer/2022082316/544a7d19b1af9f0f568b4aeb/html5/thumbnails/2.jpg)
FUNGSI DISTRIBUSI PELUANG MARGINALDari fungsidistribusigabungan f(x,y) dapatdipecahkanmenjadifungsidistribusi g(x) dan h(y), Dimana
x , y
f(x,y)
x y
g(x) h(y)
Fungsi DistribusiMarginal
![Page 3: PELUANG BERSYARAT DISKRIT Probabilitas Dan Statistika](https://reader036.fdocuments.net/reader036/viewer/2022082316/544a7d19b1af9f0f568b4aeb/html5/thumbnails/3.jpg)
PELUANG-PELUANG BERSYARAT
![Page 4: PELUANG BERSYARAT DISKRIT Probabilitas Dan Statistika](https://reader036.fdocuments.net/reader036/viewer/2022082316/544a7d19b1af9f0f568b4aeb/html5/thumbnails/4.jpg)
VARIABEL ACAK DISKRIT
![Page 5: PELUANG BERSYARAT DISKRIT Probabilitas Dan Statistika](https://reader036.fdocuments.net/reader036/viewer/2022082316/544a7d19b1af9f0f568b4aeb/html5/thumbnails/5.jpg)
Contoh:Tentukan:a) g(x) dan h(y)b) Apakah x dan y salingbebasc) P(Y = 2 | X = 2) dan P(Y=1 | X=2)
X y 1 2 3
0 3/25 2/25 1/5
1 0 3/25 4/25
2 2/25 3/25 3/25
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CONTOHx y 0 1 2
-1 3/10 1/10 1/5
0 1/5 0 0
1 0 1/10 1/10
1. Tentukanfungsidistribusi marginal2. Apakah X dan Y salingbebas3. Hitunglah P(x=1|y=2) dan P(y=2|x=1)
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JAWAB
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5
1
005
1
f(0,2)f(0,1)f(0,0)
y)f(0, g(0)
0untuk x
y
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10
2
10
1
10
10
f(1,2)f(1,1)f(1,0)
y)f(1, g(1)
1untuk x
y
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x -1 0 1
g(x) 6/10 1/5 2/10
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Jawab
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25
8
25
3
25
3
25
2
f(2,3) f(2,2) f(2,1)
y),2( g(2) y
f
y 0 1 2G(x) 10/25 7/25 8/25
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g(x) memenuhisyarat
y 1 2 3h(y) 1/5 8/25 12/25
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