Final answer:
The domain of a function is the set of all possible input values it can accept. For the specific function provided, the domain is {-6, -1, 0, 3}. In general, the domain can represent various sets, such as a list of student majors or a range of non-negative integers or money amounts for random variables.
Step-by-step explanation:
The domain of a function is the set of all possible input values (x-values) that the function can accept. For the function given in question O. x = -6, -1, 0, 3, the domain is a set of particular numbers, indicating that the function is defined only at those points. Specifically, the domain of the function is {-6, -1, 0, 3}.
Now, using the reference information provided:
- The domain of X (student's major) is a list of all majors offered at the university.
- The domain of Y (number of classes taken) includes all non-negative integers up to the maximum number of classes allowed.
- The domain of Z (money spent on books) includes all non-negative amounts of money.
- X, Y, and Z are considered random variables because their values are not determined until after data collection is completed.
- A value of z = -7 is not a possible value for Z since the domain of Z includes only non-negative values.
- The two essential characteristics of a discrete probability distribution are that the sum of the probabilities must equal 1 and that each probability must be between 0 and 1.