Question: how do you find the probability distribution of x?
Answer: The probability that x can take a specific value is p(x). That is. P[X = x] = p(x) = p_{x}
p(x) is non-negative for all real x.
The sum of p(x) over all possible values of x is 1, that is. \sum_{j}p_{j} = 1. where j represents all possible values that x can have and pj is the probability at xj.