c) A factory produces nails, for which the length is normally distributed with the mean of 4mm and standard deviation of 0.3mm. Nails are measured accurately and any which are shorter than 3.6mm or longer than 4.2mm are rejected. Sebuah kilang menghasilkan paku, dengan panjang paku tertabur secara normal dengan min 4mm dan sisihan piawai 0.3mm. Paku-paku diukur dengan tepat dan setiap paku yang lebih pendek daripada 3.6mm atau lebih panjang daripada 4.2mm adalah ditolak. i. Calculate the probability that the nails produced would be accepted. Hitung kebarangkalian paku yang dihasilkan akan diterima. ii. Out of a batch of 1000 nails, how many would be rejected?

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c) A factory produces nails, for which the length is normally distributed with the mean of
4mm and standard deviation of 0.3mm. Nails are measured accurately and any which are
shorter than 3.6mm or longer than 4.2mm are rejected.
Sebuah kilang menghasilkan paku, dengan panjang paku tertabur secara normal dengan
min 4mm dan sisihan piawai 0.3mm. Paku-paku diukur dengan tepat dan setiap paku yang
lebih pendek daripada 3.6mm atau lebih panjang daripada 4.2mm adalah ditolak.
Calculate the probability that the nails produced would be accepted.
Hitung kebarangkalian paku yang dihasilkan akan diterima.
ii.
Out of a batch of 1000 nails, how many would be rejected?
Transcribed Image Text:c) A factory produces nails, for which the length is normally distributed with the mean of 4mm and standard deviation of 0.3mm. Nails are measured accurately and any which are shorter than 3.6mm or longer than 4.2mm are rejected. Sebuah kilang menghasilkan paku, dengan panjang paku tertabur secara normal dengan min 4mm dan sisihan piawai 0.3mm. Paku-paku diukur dengan tepat dan setiap paku yang lebih pendek daripada 3.6mm atau lebih panjang daripada 4.2mm adalah ditolak. Calculate the probability that the nails produced would be accepted. Hitung kebarangkalian paku yang dihasilkan akan diterima. ii. Out of a batch of 1000 nails, how many would be rejected?
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