Difficult# Sample Space with a Wordy Context

STATS-YOXX0J

Suppose a college student is selected at random and is then monitored for a month to determine the average number of minutes he/she spends between Facebook and Reddit in a day.

The average is then rounded to the nearest minute. At the end of the month the college student is asked how many (whole) minutes they *think* they spend between Facebook and Reddit on average in a day.

Let $X$ be the difference between the recorded average and the number of minutes the student thinks they spend on Facebook/Reddit.

What is the sample space of $X$?