Semester IV I V, 2015/2016 2 015/2016 23 Februari 2016
2/23/2016
YBN
1
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Bab Sebelumnya 1. Peluang 1.1 Ruang Sampel 1.2 Kejadian 1.3 Menghitung Titik Sampel 1.4 Peluang Suatu Kejadian 1.5 Aturan Penjumlahan 1.6 Peluang Bersyarat
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MAS2001
BAB 2 PEUBAH ACAK DISKRIT
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Sasaran Kuliah Kuliah Hari Ini 2.1 Pengertian Peubah Acak 2.2 Distribusi Peluang Diskrit 2.3 Distribusi Peluang Kontinu
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MAS2001 PROBABIL PROBABILIT ITAS AS & PELU PE LUANG ANG
2.1 PENGERTIAN PEUBAH ACAK
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• •
• •
Bila sebuah koin dilantunkan lima kali. Kejadian ini merupakan kejadian acak dan ruang sampelnya
= , 2, …=,32
Ruang sampel ini memiliki elemen. Misalkan kita tertarik pada munculnya angka. Maka dapat dituliskan variabel acak yang
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Peubah Acak:
Suatu peubah acak adalah fungsi dari ruang
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•
2
Contohnya, Contohnya, peubah acak terdefinisi dengan nilai 0 jika terjadi , nilai jika terjadi
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Contoh Tiga orang petani: Pak Ali, Badu, dan Cokro menitipkan pecinya di pagi hari pada seorang anak. Sore harinya anak mengembalikan peci tersebut secara acak pada ketiga petani. Bila
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Latihan 1
Misalkan peubah acak yang menyatakan banyaknya muncul muka dikurangi banyaknya
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2.2 Distribusi Peluang Diskrit
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Definisi:
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Contoh:
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Definisi: Fungsi peluang diskrit
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Contoh:
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