8. An electronics store sells three brands of tablets: Brand P, Brand Q, and Brand R. 35%
of the tablets sold are Brand P, 45% are Brand Q, and 20% are Brand R. Each brand
offers a 2-year warranty. It is known that 25% of Brand P tablets require warranty
repair work, while the corresponding percentages for Brand Q and Brand R are 20%
and 15%, respectively.
(a) What is the probability that a randomly selected purchaser has bought a Brand
P tablet that will need repair while under warranty?
(b) What is the probability that a randomly selected purchaser has a tablet that will
need repair while under warranty?
(c) If a customer returns to the store with a tablet that needs warranty repair work,
what is the probability that it is a Brand P? Brand Q? and Brand R?