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 Breaker’s?
a: 0.04
b: 0.05
c: 0.15
d: 0.80

Answer 1

The defect rate of a company is equal to the probability of a randomly selected sensor from that company being defective. 

Breaker's has a 4% defect rate, so the probability that a Breaker's sensor being defective is 4%, or 0.04. 

The answer is A) 0.04