A TV manufacturer buys TV LCDs from three suppliers The perc

A TV manufacturer buys TV LCDs from three suppliers. The percentage supplied and proportion of defective from each supplier are shown in die table below. What is the probability that a randomly selected purchased LCD is defective? Given that a purchased LCD is defective, what is the probability dial it came from Supplier C?

Solution

A.

Probability that a randomly selected purchased LCD is defective =

0.3*0.04 + 0.2*0.05 + 0.5*0.02

= 0.032 Answer

B.

P(Came from supplier C / LCD is defective) =

P(LCD is defective and came from C) / P(LCD is defective)

= (0.5*0.02) / 0.032

= 0.3125 Answer