A watch manufacturer has two factories (fa, fb) and 60% of their watches are made at fa. it is known that 10% of them are made at fa and 15% made at fb are defective. what is the probability that a selected defective watch was manufactured at fb
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Since 60% of watches are manufactured in factory fa
The probability of picking a watch made from fa = 60/100
Since 10% of watches manufactured in factory fa are defective, the probability of picking a defective watch among them = 10/100
Therefore, the probability that a selected defective watch is from factory fa
= probability of picking a watch from fa x probability that it is defective
= 60/100 x 10/100
= 3/50 or 0.06
The probability of picking a watch made from fa = 60/100
Since 10% of watches manufactured in factory fa are defective, the probability of picking a defective watch among them = 10/100
Therefore, the probability that a selected defective watch is from factory fa
= probability of picking a watch from fa x probability that it is defective
= 60/100 x 10/100
= 3/50 or 0.06
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23
Actually, it is 0.05
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