Final answer:
No, moving a book from one shelf to another is not a translation in mathematical terms; rather, it involves work depending on the book's weight and the height it is moved. A translation in math is a shift of an object's position without rotation or resizing. The work done when moving a book is related to the force and vertical displacement.
Step-by-step explanation:
No, moving a book from one shelf to another is not considered a translation in the context of physics or mathematics. In mathematics, a translation refers to a specific type of transformation where an object is shifted in space without rotating or resizing, following a straight path. The term 'translation' in mathematics doesn't typically refer to the physical moving of objects like books.
When considering the work done on a book when it is moved, it depends not on the path or the time taken, but on the vertical displacement and the force applied against gravity. If you lift a book, the work done by gravity when lowering it is negative because the force of gravity and the displacement are in the opposite directions, resulting in negative work when considering the book's initial and final positions in relation to the shelf.
For the sample space question, the sample space would include both fiction (F) and nonfiction (N) books, providing 12 individual events based on the number of books.