Question

let S={-3,-2,-1,0,1,2,3}, Show the mapping and outcomes for each of the following random variables.
(a) X(w)=sgn(w); (b) X(w)=w^2; (c) X(w)=I[-3,-1,1,3](w)+2I[-2,0,2](w). Also find the cdf F(x) for each of three random variables.