(Total: 8 points) Suppose discrete random variables X and Y have the following joint probability mass function: p(x,y)=Pr(X=x,Y=y)={31,0,for(x,y)=(0,1),(1,0),(2,1)otherwise (a) (2 points) Show that Y follows a Bernoulli distribution. State the parameter. (b) (3 points) Show that X and Y are uncorrelated. (c) (3 points) Show that X and Y are not independent