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?

0.04

0.05

0.06

0.15

Hence, the probability that it is defective, given that it was made by Cartin Company is:

0.06

Step-by-step explanation:

It is given that:

We are asked to find the probability that it is defective, given that it was made by Cartin Company i.e. we are asked to find the conditional Probability.

Let A represents event of production of the defective item.

and C denotes the event of production by Cartin's company.

We have to find the Probability(P) i.e. we have to find P(A|C):

.

We know that:

Also A∩C=6% of 15% of x.

i.e.

Hence, .

Hence, the probability is:

0.06