1 / 10

Responsi Teori Pendukung

Responsi Teori Pendukung . Pemodelan Stokastik. Hitung peluang. If three balls are drawn at random from a bag containing 6 red balls, 4 white balls, and 8 blue balls, what is the probability that : All three are red At least one is red One is red or two are white or two are blue .

candra
Télécharger la présentation

Responsi Teori Pendukung

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Responsi Teori Pendukung Pemodelan Stokastik

  2. Hitung peluang • If three balls are drawn at random from a bag containing 6 red balls, 4 white balls, and 8 blue balls, what is the probability that : • All three are red • At least one is red • One is red or two are white or two are blue

  3. Peubah acak diskret • Suatu random-experiment berupa “tossing” duadadu. Jika X variabel random yang menyatakanjumlahdariduamatadadu yang muncul. Tentukan : • Fungsi massa peluang untuk X • E(X) dan Var(X)

  4. Peubah acak kontinu • Suatu peubah acak kontinu X mempunyai fungsi padat peluang : • Hitunglah : • Nilai c • P(0,5 ≤ x ≤ 0,75) • Fungsi Distribusi dari X, F(x) • Var(X)

  5. Some important random variables • Messages arrive at a computer at an average rate of 15 messages per second. The number of messages that arrive per second is known to be a Poisson random variable. Find the probability that : • No messages arrive in a second • More than 10 messages arrive in 1 second period

  6. Some important random variables • NilaiujianuntukmatakuliahStatistikadiikutisebuahUniversitasSwastamempunyai rata-rata nilaiujian = 58 danvariansi 100. Biladistribusinilaiujiandianggapberdistribusi normal, maka : • Bilanilaiujianuntuk lulus adalah 53,5, berapapersen yang tidak lulus • Bilaterdapat 15% mahasiswa yang memperolehnilai A, makaberapanilai minimal untukmemperolehnilai A

  7. Some important random variables • Andaikan peubah acak X~GEO(p) dan Y~EXP(θ). Tentukan θ sehingga • Peubahacak X berdistribusieksponensialdenganfpp : Hitungnilai k Hitung P(X ≤ 1)

  8. Bivariate • Dari 8 orangmahasiswa yang terdiridari 2 orangmahasiswafakultasSains, 3 orangmahasiswadariFakultasRekayasaIndustri, dan 3 orangmahasiswaFakultasElektrodanKomunikasi, akandipilih 4 orangsecaraacakuntukmendapatkanbeasiswa. Andaikanpeubahacak X menyatakanbanyaknyamahasiswaFakultasSains yang terpilih, danpeubahacak Y menyatakanbanyaknyamahasiswadariFakultasElektrodanKomunikasi yang terpilih, makatentukan : • Fungsi Massa Peluanggabungandari X dan Y • Var(X+Y)

  9. Bivariate • Diberikan fungsi massa peluang gabungan (joint pmf) dari bivariat X,Y : • Periksa apakah X dan Y independen • Hitung Cov(X,Y)

  10. Bivariate • Consider the bivariate density : • Obtain the appropriate constant c. • Obtain the marginal densities for X and Y, and calculate their means and variances • Obtain the covariance between X and Y, and check whether the random variables are independent

More Related