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Tentukan luas daerah yang dibatasi kurva normal berikut:

1. Kurva normal begin mathsize 14px style straight N open parentheses 0 comma space 1 close parentheses end style pada interval begin mathsize 14px style straight Z less than negative 1 comma 12 end style 

W. Lestari

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Mahasiswa/Alumni Universitas Sriwijaya

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Jawaban

 begin mathsize 14px style straight P open parentheses straight Z less than negative 1 comma 12 close parentheses equals 0 comma 1314 end style.

Pembahasan

Kurva normal begin mathsize 14px style straight N open parentheses 0 comma space 1 close parentheses end style pada interval begin mathsize 14px style straight Z less than negative 1 comma 12 end style. Maka:

begin mathsize 14px style straight sigma equals square root of 1 equals 1 end style 

Sehingga:

begin mathsize 14px style straight P open parentheses straight Z less than negative 1 comma 12 close parentheses equals straight P open parentheses straight Z greater than 1 comma 12 close parentheses space space space space space space space space space space space space space space space space space space space space space equals straight P open parentheses straight Z greater than 0 close parentheses minus straight P open parentheses 0 less than straight Z less than 1 comma 12 close parentheses space space space space space space space space space space space space space space space space space space space space space equals 0 comma 5000 minus 0 comma 3686 space space space space space space space space space space space space space space space space space space space space space equals 0 comma 1314 end style 

Jadi, begin mathsize 14px style straight P open parentheses straight Z less than negative 1 comma 12 close parentheses equals 0 comma 1314 end style.

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