Is responses in statistics the equivalent to random variables in probability?

The focus of this class is multivariate analysis of discrete data. The modern statistical inference has many approaches/models for discrete data. We will learn the basic principles of statistical methods and discuss issues relevant for the analysis of Poisson counts of some discrete distribution, cross-classified table of counts, (i.e., contingency tables), binary responses such as success/failure records, questionnaire items, judge's ratings, etc. Our goal is to build a sound foundation that will then allow you to more easily explore and learn many other relevant methods that are being used to analyze real life data. This will be done roughly at the introductory level of the first part of the required textbook by A. Agresti (2013), which covers a superset of A. Agresti (2007)

in which, is responses here (statistics) the equivalent to random variables in probability

another page in that site says

Discretely measured responses can be:

Nominal (unordered) variables, e.g., gender, ethnic background, religious or political affiliation

Ordinal (ordered) variables, e.g., grade levels, income levels, school grades

Discrete interval variables with only a few values, e.g., number of times married

Continuous variables grouped into small number of categories, e.g., income grouped into subsets, blood pressure levels (normal, high-normal etc)

We we learn and evaluate mostly parametric models for these responses.

are variables and responses interchangeable here?