teori antrian (probabilitas)

              Pelajarilah tentang teori probabilitas yang akan di upload pada pak dan kerjakan tugas berikut ini pada kertas double folio dan dikumpulkan pada hari Kamis, 3 Maret 2011 paling lambat pukul 15.00 di program studi Teknik Informatika.

1.       A collection of 100 computer programs was examined for various types of errors (bugs). It was found that 20 of them had syntax errors, 10 had input/output (I/O) errors that were not syntactical, five had other types of errors, six programs had both syntax errors and I/O errors, three had both syntax errors and other errors, two had both I/O errors and other errors , while one had all three types of error. A program is selected at random from this collection, that is, selected in such a way that each programs was equally likely to be chosen. Let S be the event that the selected programs has errors in syntax, I be the event it has I/O errors, and O the event that it has other errors. Since the program was randomly selected, Table gives the probabilities associated with some of the event.

2nd die	6	7	8	9	10	11	12
	5	6	7	8	9	10	11
	4	5	6	7	8	9	10
	3	4	5	6	7	8	9
	2	3	4	5	6	7	8
	1	2	3	4	5	6	7
		1	2	3	4	5	6
	1st die

2.       Suppose a survey of 100 computer installations in a certain city shows that 75 of them have at least one brand x computer. If three of these installations are chosen at random, without replacement, what is the probability that each of them has at least one brand x machine?

3.       At the completion of a programming project five programmers from a team submit a collection of subrountines to an acceptance testing group. Each programmer has certified each that each subrountine has been carefully tested and is free from errors. Tabel 2.4.1 shows how many routines each programmer I will pass the acceptance tests, i = 1,2,3,4,5, based on historical data. After the acceaptance testing is completed, one of the subrountines is selected at random and it is found to have failed the tests. Assuming the probabilities in the third column of Tabel 2.4.1 have not changed, what is the probability that the subrountine was written by the first programmer?By the fifth?

  terjemahan

       1.       A collection of 100 program komputer diperiksa untuk berbagai jenis kesalahan (bug). Ditemukan bahwa 20 dari mereka memiliki kesalahan sintaks, 10 telah input / output (I / O) kesalahan yang tidak sintaksis, lima memiliki jenis kesalahan, enam program telah baik kesalahan sintaks dan I / O error, tiga telah sintaks baik kesalahan dan kesalahan lainnya, dua sama-sama I / O error dan kesalahan lainnya, sementara satu orang ketiga jenis kesalahan. Suatu program dipilih secara acak dari koleksi ini, yaitu, dipilih sedemikian rupa sehingga setiap program yang sama mungkin dipilih. Biarkan S menjadi hal program yang dipilih memiliki kesalahan sintaks, saya akan acara itu telah I / O error, dan O peristiwa yang telah kesalahan lainnya. Sejak program itu secara acak dipilih, Tabel memberikan probabilitas yang terkait dengan beberapa acara

2. Misalkan sebuah survei terhadap 100 instalasi komputer di sebuah kota tertentu menunjukkan bahwa 75 dari mereka memiliki setidaknya satu merek x komputer. Jika tiga dari instalasi ini dipilih secara acak, tanpa penggantian, apa probabilitas bahwa masing-masing memiliki setidaknya satu merek x mesin?

3. Pada penyelesaian proyek pemrograman lima programmer dari tim menyerahkan koleksi subrountines ke grup pengujian penerimaan. Programmer Masing-masing memiliki sertifikasi setiap yang subrountine masing-masing telah diuji hati-hati dan bebas dari kesalahan. Tabel 2.4.1 menunjukkan berapa banyak programmer rutinitas setiap saya akan lulus tes penerimaan, i = 1,2,3,4,5, berdasarkan data historis. Setelah pengujian acceaptance selesai, salah satu subrountines dipilih secara acak dan ditemukan telah gagal tes. Dengan asumsi probabilitas pada kolom ketiga Tabel 2.4.1 tidak berubah, apa probabilitas bahwa subrountine itu ditulis oleh programmer pertama? Pada kelima?

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