Question

The domain for variable x is the set of students in a class. Define the predicates: P(x): x is a senior, Q(x): x passed the final exam, R(x): x completed the research project.

Answer 1

The domain of X is the set of majors offered at the university, the domain of Y is the set of non-negative integers, and the domain of Z is any amount of money from zero upwards. X, Y, and Z are random variables because their values can take any value within their domains. z = -7 is not a possible value for Z.

Step-by-step explanation:

The domain of X is the set of all majors offered at the university, including undeclared. The domain of Y is the set of non-negative integers, representing the number of classes taken in the previous semester. The domain of Z is any amount of money from zero upwards, representing the amount spent on books in the previous semester.

X, Y, and Z are random variables because their values can take any value within their respective domains, and their specific values for any particular case are not known until the survey or experiment is completed.

If z = -7 in one case, it is not a possible value for Z since the domain of Z starts from zero upwards.