Interpreting Conditional Probability 1

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

This question seems strange.

Your question states that P(defective|Carlin)=.06

and then the question asks what is P(defective|Carlin)!