Of items produced by a factory, 40% come from line i and 60% from line ii. eight percent of the items produced on line i and 10% of the items produced on line ii are defective. an item is chosen at random. find the probability that it is not defective.

Question

Mathematics

Buttercup

12 May, 10:30

Of items produced by a factory, 40% come from line i and 60% from line ii. eight percent of the items produced on line i and 10% of the items produced on line ii are defective. an item is chosen at random. find the probability that it is not defective.

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Benitez · Answer 1

Step-by-step explanation:

I don't know how is to speak it English correctly but is the teoreme of whole probability

P (A1) = 0.08*0.4=0,032 is probability to choose defective item line I

P (A2) = 0.1*0.6=0.06 is probability to choose defective item line II

P (B) = P (A1) + P (A2) = 0,032+0.06=0.092 probability to choose defective item

P (C) = 1-P (B) = 0.908 the probability that it is not defective