Distribusi diskret

Latihan Pertanyaan Wawancara Statistik di R

Zuzanna Chmielewska

Actuary

Probabilitas

Ringkasan distribusi umum

Fungsi probabilitas di R

awalan	tujuan	contoh
d	densitas	dnorm()

Fungsi probabilitas di R

awalan	tujuan	contoh
d	densitas	dnorm()
p	fungsi distribusi	pnorm()

Fungsi probabilitas di R

awalan	tujuan	contoh
d	densitas	dnorm()
p	fungsi distribusi	pnorm()
q	fungsi kuantil	qnorm()

Fungsi probabilitas di R

awalan	tujuan	contoh
d	densitas	dnorm()
p	fungsi distribusi	pnorm()
q	fungsi kuantil	qnorm()
r	variat acak	rnorm()

Distribusi seragam diskret

Distribusi seragam diskret

Distribusi seragam diskret

Distribusi seragam diskret

sample(1:6, size = 1)

[1] 1

purrr::rdunif(n = 1, b = 6, a = 1)

[1] 2

Distribusi Bernoulli

Fungsi massa probabilitas: $$ P(X = 1) = p $$

$$ P(X = 0) = 1-p $$

Distribusi Bernoulli

$$ p = 0.5 $$

Distribusi binomial

Distribusi binomial

Distribusi binomial

Distribusi binomial

$$ P(X=k)=\binom{n}{k}p^k(1-p)^{n-k} $$

Distribusi binomial

$$ P(X=k)=\binom{n}{k}p^k(1-p)^{n-k} $$

Distribusi binomial

$$ P(X=k)=\binom{n}{k}p^k(1-p)^{n-k} $$

Distribusi binomial

$$ P(X=k)=\binom{n}{k}p^k(1-p)^{n-k} $$

Distribusi binomial di R

Distribusi binomial:

rbinom(n, size = k, prob = p)

Distribusi Bernoulli:

rbinom(n, size = 1, prob = p)

Tabel frekuensi

random_numbers <- sample(1:10, size = 1000, replace = TRUE)

table(random_numbers)

random_numbers
  1   2   3   4   5   6   7   8   9  10 
101 106  82 102  91 104 105 106 109  94

Diagram frekuensi

random_numbers <- sample(1:10, size = 1000, replace = TRUE)

barplot(table(random_numbers))

Reproduksibilitas

set.seed(123)

sample(1:10, size = 3)
sample(1:10, size = 3)

3 10 2
2  6 3

Reproduksibilitas

set.seed(123)
sample(1:10, size = 3)
set.seed(123)
sample(1:10, size = 3)

3 10 2
3 10 2

Ringkasan

• fungsi probabilitas di R
• distribusi diskret umum
  • seragam diskret
  • bernoulli
  • binomial
• diagram frekuensi
• reproduksibilitas

Ayo berlatih!

Latihan Pertanyaan Wawancara Statistik di R