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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 $X$?

A

All integers between $-1440$ and $1440$.

B

All real numbers between $0$ and $\infty$.

C

All real numbers between $-1440$ and $1440$.

D

$\{0,1,2,\ldots, 1440\}$.

E

None of the above or cannot be determined.

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