Problem 1. (2 points)
Items in your inventory are produced at three different plants: 50%
from plant A1, 30% from plant A2 and 20% from plant A3. You
are aware that your plants produce at different levels of quality:
A1 produces 5 percent defectives, A2 produces 7 percent defectives and A3 yields 8 percent defectives. You randomly select an
item from your inventory and it turns out to be defective. Which
plant is the item most likely to have come from?
• Plant A1
• Plant A2
• Plant A3