Question

The Breaker's Manufacturing Company makes 80% of a particular sensor, the Cartin Company makes 15% of them, and the Flutes Company makes the other 5%. The sensors made by Breaker's have a 4% defect rate, the Cartin sensors have a 6% defect rate, and the Flutes 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 Cartin Company?

a: 0.04
b: 0.05
c: 0.06
d: 0.15

Answer 1

The answer is C) 0.06

Given that the sensor is made by the Cartin Company, the probability that the sensor is defective is equal to Cartin's defect rate, which is 6%, or 0.06.