Kode Mata KuliahMA3181 / 4 SKS
Penyelenggara101 - Matematika / FMIPA
KategoriKuliah
Bahasa IndonesiaEnglish
Nama Mata KuliahTeori PeluangProbability Theory
Bahan Kajian
  1. Eksperimen acak
  2. Peluang
  3. Peubah acak dan distribusi peluang
  4. Ekspektasi Matematika
  5. Distribusi Multivariat
  6. Peluang bersyarat
  7. Sampel acak
  8. Distribusi Diskret
  9. Distribusi Kontinu
  10. Distribusi Normal Multivariat
  11. Statistika Terurut
  12. Distribusi Sampling
  1. Randomised experiment
  2. Opportunities
  3. Random variables and probability distributions
  4. Maths Expectations
  5. Multivariate Distribution
  6. Conditional probability
  7. Random sample
  8. Discrete Distribution
  9. Continuous Distribution
  10. Multivariate Normal Distribution
  11. Statistika Terurut
  12. Sampling Distribution
Capaian Pembelajaran Mata Kuliah (CPMK)
  1. Memahami karakteristik (mean dan variance) dan fungsi distribusi kumulatif dari: (a) distribusi univariat; (b) distribusi multivariat, masing-masing untuk distribusi bersama, marjinal, dan bersyarat.
  2. Menentukan mean, variance, peluang, dan fungsi distribusi dari: (a) distribusi univariat diskret (distribusi binomial dan Poisson) dan distribusi bivariat diskret; (b) distribusi univariat kontinu (distribusi normal, gamma, t, dan F) dan distribusi bivariat (normal); masing-masing untuk distribusi bersama, marjinal, dan bersyarat.
  3. Dari data nyata, memperkirakan distribusi peluang dan karakterisktiknya serta menafsirkan hasil pengamatan yang didapat.
  4. Menentukan distribusi dari fungsi peubah acak dan nilai ekspektasinya menggunakan moment generating function.
  5. Memahami sampling acak dan distribusinya, dan pengaruh dari ukuran sampel terhadap distribusi dan karakteristiknya
  6. Memahami dan menentukan distribusi statistik terurut.
  1. Understand the characteristic (mean and variance) and its cumulative distribution function from a. univariate distribution b. multivariate distribution respectively for joint, marginal, and conditional distribution
  2. Determine mean, variance, probability and distribution function from a. Discrete univariate distribution(binomial and poisson distribution) and discrete bivariate distribution b. Continuous univariate distribution (normal, gamma, t, and F distribution) and continuous bivariate(normal and arbitrary) distribution, respectively for joint, marginal, and conditional distribution.
  3. From the real data, estimate the probability distribution and its characteristics and interpret or recite to the observation itself.
  4. Determine the distribution of the function of random variables and its expectation using moment generating function.
  5. Understand random sampling and its distribution, and the effect of size samples to the distribution and its characteristics.
  6. Understand and determine the distribution of order statistics
Metode PembelajaranCeramah, DiskusiLectures, Discussions
Modalitas PembelajaranBauran Sinkron/asinkron Mandiri/ KelompokHybrid Synchronous/asynchronous Individual/Group
Jenis NilaiABCDE
Metode PenilaianTugas, Kuis, UjianTugas, Kuis, Ujian
Catatan Tambahan