I want to do a hypothesis testing excersise that comes after, but i'm a little bit confused about the plot of the density of Z, which i feel i need to understand first:
More specifically, where do i see in the graph the "P[Y=1]=P[Y-1]=1/2" of the discrete RV? if i am adding a normal distribution to it, with a variance that reaches those limits in the x axis (-1,1).
How does the discrete RV affects my normal distribution in terms of limits?
Side note: I thought about using R to plot it as well, is it a good idea? or should i use matlab?