STATISTIKA EKONOMI I Chapter 4 – 4 – Distribusi Probabilitas Normal dan Binomial Chapter 5 – 5 – Teori Teori Sampling Rengganis Banitya Rachmat
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4. Distrib Distribusi usi Probabilita Probabilitass Normal dan Binomial Tujuan Instruksion In struksional al Khusus: Setelah mengikuti materi ini, mahasiswa diharapkan mampu:
Menjelaskan pengertian distribusi probabilitas probabilitas Menjelaskan pengertian distribusi probabilitas probabilitas diskrit dan distribusi probabilitas kontinu Menjelaskan pengertian distribusi binomial dan pemanfaatannya
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KEGIATAN BELAJAR 1 Distribusi Probabilitas 1. Distribusi Probabilitas Diskrit 2. Distribusi Probabilitas Kontinu 3. Harapan Matematis
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DISTRIBUSI DISTRIBUSI PROBAB PROBABILIT ILITAS AS DISKRIT
Variabel X disebut set diskrit (himpunan bilangan bulat saja) X = {X1, X2, X3, X4,….,Xn} X4,….,Xn}
Dengan probabilitas p = {p1, p2, p3, p4,….., pn} p4,…..,pn} Dimana : p1+p2+p3+p4+…….+ pn = 1 p1+p2+p3 +p4+…….+pn
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X memiliki nilai tertentu dengan probabilitas probabilitas tertentu yang disebut
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DISTRIBUSI DISTRIBUSI PROBAB PROBABILIT ILITAS AS DISKRIT
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Contoh : Pelemparan Pelemparan dua buah dadu bersama-sama. Misalnya X adalah jumlah biji yang keluar dari dadu tesebut yaitu 1+1, probabilitas yang terjadi yaitu : 1+2, 1+2 , 1+3, 1+4, …..,6+6 ….., 6+6.. Maka probabilitas
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DISTRIBUSI DISTRIBUSI PROBAB PROBABILIT ILITAS AS DISKRIT
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DISTRIB DISTRIBUSI USI PROB PROBABI ABILIT LITAS AS KONTINU ONTINU
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HARAPAN MATEMATIS
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Harapan matematis : Menjelaskan perhitungan perhitu ngan nilai rata-rata jangka panjang .
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HARAPAN MATEMATIS
Disebut juga sebagai Ekspektasi Contoh :
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KEGIATAN BELAJAR 1I Distribusi Binomial dan Normal 1. Distribusi Binomial 2. Distribusi Normal
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Distribusi Binomial Distribusi Binomial adalah distribusi yg memiliki 2 kategori. Misalkan : sukses atau gagal, laki-laki laki-la ki atau perempuan.
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Teorema Limit Limit Sentra Sentrall
Teorema : Jumlah anggotanya diperbesar, data yg diambil dari populasi, apapun bentuknya bentuk nya distribusinya, distribu sinya, mendekati mendekat i bentuk distribusi normal.
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Pengecualian Sifat Cuplikan Acak 1. 2.
Sifat cuplikan yang memiliki variabel nol-satu. Properti Properti cuplikan variabel non-satu :
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Pengecualian Sifat Cuplikan Acak
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Sifat-Sifat Cuplikan dari Populasi Kecil 1. 2. 3.
Nilai momen pertama = Nilai momen kedua / variance = Nilai variance = Var
Dimana N = Jumlah anggota anggota populasi n = jumlah anggota sampel
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Sifat-Sifat Cuplikan dari Populasi Kecil Contoh :
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Sifat-Sifat Cuplikan dari Populasi Kecil ---------
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Sifat-Sifat Cuplikan dari Populasi Kecil ---------
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