comstruct a venn diagram to answer the following problems (A, B, C, and D)
a survery was conducted among senior high school students. they were asked to identify the sources of the home movies which they frequently watch: whether from netflix, redbox, or from video rental stores. the following responses were gathered:
52 use netflix only, 24 use video rental stores only, 48 use both netflix and redbox, 10 use all three sources, 62 use redbox only, 16 use both redbox and video rental stores, 30 use both netflix and video rental stores, 25 use none of these sources
1. how mamy students watch films from the netflix? 2. how many students watch films from the redbox? 3. how many students watch films from the borrowed only from video rentals? 4. how many students watch films from the netflix, but not from the redbox?
C. a survey was conducted among the buyers of cell phones. they were asked to name the factors that have influenced their choice of cell phones: whether color, size, or brand. the following responses were gathered.
5 considered "color" as the only factor, 16 considered "brand" as the only factor, 42 considered both "color and brand" as factors, 12 considered all three factors, 8 said only the "size" influenced their choice, 20 said both "color and size" influenced them, 53 said they considered the "size and brand", and 20 said none of the choices influenced their decision
1. how many buyers have been influenced by the size of cell phones? 2. how many have been influenced by the brand? 3. how many have been influenced by both size and color of cell phones? 4. how mnay have been influenced by the brand, but not by the color?
D. a random group of students were asked to choose which movie they liked best: "matrix", "transformers", or "star wars" the following responses were gathered:
"matrix" 18, "transformers" 12, "transformers" and "star wars" 14, all three movies 6, star wars, 24, both "matrix" and "star wars" 10, and "matrix" and "transformers" 12
1. how many liked matrix? 2. how many liked transformers? 3. how many liked star wars? 4. how many students have been involved in the survey?