A company has three manufacturing factories; X, Y, and Z. The daily output of TV's and stereos is indicated in the table below. If one item is selected at random, find these probabilities. Product Factory X Factory Y Factory Z TVs 18 32 15 Stereos O 20 13 a). It is a TV. b). It was manufactured at factory X or is a stereo. c). It was manufactured at factory Z and it is a TV. d). It is a stereo given it was manufactured at factory Y