. Three plants manufacture hard drives and ship them to a warehouse for distribution. Plant I produces 54% of the warehouse’s inventory with a 4% defect rate. Plant II produces 35% of the warehouse’s...

. Three plants manufacture hard drives and ship them to a warehouse for distribution. Plant I

produces 54% of the warehouse’s inventory with a 4% defect rate. Plant II produces 35% of the

warehouse’s inventory with an 8% defect rate. Plant III produces the remainder of the

warehouse’s inventory with a 12% defect rate.

(a) Draw a tree diagram to represent this information.

(b) A warehouse inspector selects one hard drive at random. What is the probability that it is a

defective hard drive and from Plant II?

(c) What is the probability that a randomly selected hard drive is defective?

(d) Suppose a hard drive is defective. What is the probability that it came from Plant II?