The panels for the Pulsar 32-inch TV are manufactured in three locations and then shipped to the main
plant for final assembly. Plants A, B, and C supply 50%, 30%, and 20%, respectively of the panels.The
quality-control department of the company has determined that 1% of the panels poduced by Plant A are
defective, and 2% of the panels produced by Plants B and C are defective. If a Pulsar 32-inch TV is
selected at random and the panel is found to be defective, what is the probability that the panel was
manufactured in Plant C?