Distribusi Normal
Passage
•
Mathematics
•
12th Grade
•
Practice Problem
•
Hard
+2
Standards-aligned
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Used 1+ times
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13 questions
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1.
OPEN ENDED QUESTION
3 mins • 1 pt
Apakah fungsi tersebut merupakan fungsi probabilitas kontinu? Jika iya, buktikan. Jika tidak, berikan alasannya.
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2.
OPEN ENDED QUESTION
3 mins • 1 pt
Jika fungsi tersebut merupakan fungsi probabilitas kontinu, tentukan nilai rata-rata dan modusnya.
Jika fungsi tersebut bukan merupakan fungsi probabilitas kontinu, tentukan interval yang membuat fungsi tersebut merupakan fungsi probabilitas kontinu.
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3.
OPEN ENDED QUESTION
3 mins • 1 pt
Tuliskan peluang yang akan dicari (dalam variabel X) berdasarkan soal tersebut. Berikan alasannya.
Contoh : P(X ≥ 2). Karena alasan seperti berikut
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4.
OPEN ENDED QUESTION
3 mins • 1 pt
Konversikan variabel X pada interval yang telah kalian tentukan pada soal nomor 3 menjadi variabel Z (distribusi normal baku)
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Tags
CCSS.HSS.ID.A.4
5.
OPEN ENDED QUESTION
3 mins • 1 pt
Gambarkan kurva normal yang sesuai dengan probabilitas yang kalian dapatkan pada soal nomor 4
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Tags
CCSS.HSS.ID.A.4
6.
OPEN ENDED QUESTION
3 mins • 1 pt
Dengan menggunakan penghitungan yang tepat, ubahlah supaya interval yang kalian temukan di nomor 4 menjadi bentuk yang memuat P(0 ≤ z ≤ k) dengan k ∈ R, sehingga bisa disesuaikan dengan tabel distribusi normal.
Contoh :
P(z ≥ 2,54) = P(z ≥ 0) - P(0 ≤ z ≤ 2,54)
↔ P(z ≥ 2,54) = 0,5 - P(0 ≤ z ≤ 2,54)
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Tags
CCSS.HSS.ID.A.4
7.
OPEN ENDED QUESTION
3 mins • 1 pt
Berdasarkan penjabaran yang dikerjakan pada soal nomor 6, tentukan nilai probabilitas interval yang ditentukan pada soal nomor 2 (dengan bantuan tabel)
Contoh :
P(z ≥ 2,54) = 0,5 - P(0 ≤ z ≤ 2,54)
↔ P(z ≥ 2,54) = 0,5 - 0,4945
↔ P(z ≥ 2,54) = 0,0055
Evaluate responses using AI:
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Tags
CCSS.HSS.ID.A.4
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