Final answer:
To solve this problem, start by drawing a Venn diagram to represent the given situation. Then find the probability of buying either a novel or a nonfiction book. Describe the overlapping area in the Venn diagram using a complete sentence and draw an oval to represent the event of some customers buying only compact disks.
Step-by-step explanation:
To solve this problem, we need to follow the given instructions and answer each part separately:
a. To draw the Venn diagram, start by drawing a rectangle to represent the sample space. Then draw three circles or ovals inside the rectangle and label them A, B, and C. Make sure the circles or ovals overlap to represent the events that have common outcomes.
b. To find the probability that the customer buys either a novel or a nonfiction book, we need to find the sum of the probabilities of buying a novel and buying a nonfiction book. This can be represented as P(novel or nonfiction) = P(novel) + P(nonfiction).
c. In the Venn diagram, the overlapping area represents the outcomes that belong to all three events A, B, and C. You can describe this overlapping area using a complete sentence like 'The overlapping area represents the outcomes that belong to event A, event B, and event C simultaneously.'
d. To represent the event of some customers buying only compact disks in the Venn diagram, you can draw an oval inside one of the circles or ovals and label it 'only compact disks.'