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?

Answer 1

Answer:

The probability that it is defective and it was made by Breaker’s is 0.04.

Step-by-step explanation:

Consider the provided information:

The sensors made by Breaker's have a 4% defect rate.

We need to find the probability that it is defective, and comes from Breaker, which can be calculated as:

Pr(A|B)=$\frac{4}{100}$

Pr(A|B)=0.04

Hence, the probability that it is defective and it was made by Breaker’s is 0.04.