Since \( X \) is a discrete uniform random variable with the set \( R_X = \{-2, -1, 0, 1, 2\} \), each value in this set has an equal probability. The total number of outcomes is 5.
The PMF of \( X \) is given by:
\[
P(X = x) = \frac{1}{5} \quad \text{for } x
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