Question: Two major brands of flat screen TVs control 50% and 30% of the market, respectively. Other brands have the remaining 20% of the market. It is known that 10% of brand 1 TVs require warranty repair work, as do 20% of brand 2 and 25% of different brand TVs.
(a) Find the probability that the next flat screen TV purchased is a brand 1 TV which will need warranty repair work.
(b) Make a tree diagram for the experiment that records the brand of the next flat screen TV to be sold, and whether or not it will require warranty repair work, and mark the given probabilities on the different paths of the tree diagram.
(c) Use the tree diagram to find the probability that the next flat screen TV to be sold will need warranty repair work.