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# TOPIK 1: Klasifikasi Variabel Acak
# ------------------------------------------------------------------------------
# a) Jumlah komentar per unggahan : Diskrit
# b) Durasi video yang ditonton : Kontinu
# ------------------------------------------------------------------------------
# TOPIK 2: Distribusi Binomial
# ------------------------------------------------------------------------------
n <- 10; p <- 0.25
dbinom(2, size = n, prob = p) # P(X=2) Tepat 2 mengklik
## [1] 0.2815676
n * p # mean
## [1] 2.5
sqrt(n * p * (1 - p)) # sd
## [1] 1.369306
# ------------------------------------------------------------------------------
# TOPIK 2: Distribusi Poisson
# ------------------------------------------------------------------------------
lambda <- 8
dpois(5, lambda) # P(X=5) Tepat 5 unggahan secara manual/R
## [1] 0.09160366
1 - ppois(12, lambda) # P(X>12) Lebih dari 12 unggahan
## [1] 0.0637972
# ------------------------------------------------------------------------------
# TOPIK 4: Standardisasi Z / Distribusi Normal
# ------------------------------------------------------------------------------
mu <- 3; sigma <- 0.5
1 - pnorm(4, mean = mu, sd = sigma) # P(X>4) Loading > 4 detik
## [1] 0.02275013
qnorm(0.95, mean = mu, sd = sigma) # Batas waktu 5% loading terlama (Persentil 0.95)
## [1] 3.822427