The breakers manufacturing company makes 80% of a particular center, the carton company makes 15% of them, and the flutes company makes the other 5%. The sensors made by breakers have a 4% defect rate, the carton centers have a 6% defect rate, the flute sensors have a 9% defect rate. If a sensor is randomly selected from the general population of all sensors, what is the probability that it is defective, given that it was made by carton Company?

Question

Mathematics

Grayson

24 October, 01:14

The breakers manufacturing company makes 80% of a particular center, the carton company makes 15% of them, and the flutes company makes the other 5%. The sensors made by breakers have a 4% defect rate, the carton centers have a 6% defect rate, the flute sensors have a 9% defect rate. If a sensor is randomly selected from the general population of all sensors, what is the probability that it is defective, given that it was made by carton Company?

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Quinton Huang · Answer 1

If the randomly selected sensor is identified as having been made by Carton Company, the probability of it being defective must be 0.06, The reason being that it is given that Carton sensors have a 6% defect rate.