You are in charge of production of a very in-demand part. Your clients have an expectation that the probability of a defective part is under 10%. The table below summarizes part production at five of your facilities. Find the following probabilities.

answer as a percent rounded to one decimal place.

1. What is the probability that a randomly selected part is defective?
2. What is the probability that a randomly selected part is not defective?

1. What is the probability that a part came from Factory A?

Be careful on the following.

1. What is the probability of a defect, knowing the part came from Factory A?

1. What is the probability of a defect, knowing the part came from Factory B?

1. What is the probability of a defect, knowing the part came from Factory C?

1. What is the probability of a defect, knowing the part came from Factory D?

1. What is the probability of a defect, knowing the part came from Factory E?

1. Based upon these probabilities, which factory should be investigated more?

Here is the recent production history from the factory you flagged as a problem. It shows each shift's production and number of rejected parts.

Shift	Rejected Parts	Good Parts	Total
1	51	549	600
2	72	778	850
3	50	600	650
4	57	453	510
Total	230	2380	2610

1. For this time period, what is the probability of a defect for this factory?

1. Investigate the probability of a rejected part, knowing that it came from a known shift. Report which shift appears to be the biggest contributor.