Answer:
The mean of the random variable is 0.
The variance of the random variable is 
Step-by-step explanation:
We are given the following probability distribution:





Mean:
Sum of each value multiplied by its probabilities. So

The mean of the random variable is 0.
Variance:
Sum of the difference squared between each value and the mean, multiplied by its probabilities. So

The variance of the random variable is 