Probability Distributions and Data Modeling
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5 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 20 pts
Jevant punya 4 calon pacar (Caterine, Elvina, Ida, Katherina). Dia ingin memilih 2 orang untuk diajak jalan bersama-sama di waktu yang bersamaan (Contoh: Jevant jalan dengan Caterine & Elvina).
Berapa kemungkinan pasangan pacar yang bisa Jevant pilih?
4
6
8
12
Answer explanation
= Caterine, Elvina, Ida, Katherina
= 4 * 3 / 2! = 6
= {Caterine, Elvina}
= {Caterine, Ida}
= {Caterine, Katherina}
= {Elvina, Ida}
= {Elvina, Katherina}
= {Ida, Katherina}
2.
MULTIPLE CHOICE QUESTION
30 sec • 20 pts
Leo, Matthew, dan Michael telat datang saat ujian.
Terdapat 2 kursi kosong saat ujian yaitu kursi depan dan kursi belakang.
Berapa banyak cara atau kemungkinan mereka bisa duduk?
3
6
9
12
Answer explanation
= 3 * 2 = 6
= Leo, Matthew, dan Michael
(Leo depan, Matthew belakang)
(Leo depan, Michael belakang)
(Matthew depan, Leo belakang)
(Matthew depan, Michaelbelakang)
(Michael depan, Leo belakang)
(Michael depan, Matthew belakang)
= 3 * 2 = 6
= Leo, Matthew, dan Michael
(Leo depan, Matthew belakang)
(Leo depan, Michael belakang)
(Matthew depan, Leo belakang)
(Matthew depan, Michaelbelakang)
(Michael depan, Leo belakang)
(Michael depan, Matthew belakang)
3.
MULTIPLE CHOICE QUESTION
30 sec • 20 pts
Peluang Rizki menikah = 0.3
Peluang Rizki jomblo = 0.4
Berapa peluang setidaknya salah satu benar?
.12
.58
.7
.9
Answer explanation
Peluang Rizki menikah = 0.3
Peluang Rizki jomblo = 0.4
Berapa peluang setidaknya salah satu benar?
Lihat tentang mutually exclusive (tidak bisa terjadi bersamaan)
.3 + .4 − (.3 * .4) = .58
4.
MULTIPLE CHOICE QUESTION
30 sec • 20 pts
Dari 200 mahasiswa di Binus, 50 mahasiswa pilih Odeng.
Estimasi peluang mahasiwa acak pilih Odeng?
20%
25%
50%
75%
Answer explanation
Total mahasiswa = 200 orang
Yang pilih odeng = 50 orang
Probabilitas pelanggan acak pilih tempe goreng = 50/200 = .25
Total mahasiswa = 200 orang
Yang pilih odeng = 50 orang
Probabilitas pelanggan acak pilih tempe goreng = 50/200 = .25
Artinya: kalau kita pilih 1 orang secara acak dari 200 mahasiswa, peluang orang itu memilih odeng adalah 1:4
5.
MULTIPLE SELECT QUESTION
45 sec • 20 pts
Perhatikan event di bawah ini:
Event A = Bayi lahir perempuan
Event B = Bayi lahir laki-laki
Event C = Bayi lahir pada hari Senin
Pilih pernyataan yang benar
A dan C mutually exclusive
A dan B mutually exclusive
A dan C non mutually exclusive
A dan B non mutually exclusive
Answer explanation
Event A = Bayi lahir perempuan
Event B = Bayi lahir laki-laki
Event A dan B Mutually exclusive karena satu bayi hanya bisa bergender perempuan atau laki-laki
Event A = Bayi lahir perempuan
Event B = Bayi lahir laki-laki
Event A dan B Mutually exclusive karena satu bayi hanya bisa bergender perempuan atau laki-laki
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