Hi, I am struggling with determining independence and correlation.

The random variable X ~ Uniform(-1, 1) is uniformly distributed in the interval (-1, 1). Suppose X if X) 2-1/3. (a) Determine if X and Y are uncorrelated. (b) Are X and Y independent? [Hint: To avoid getting bogged down in numerical values, try replacing 2 1/ by a generic parameter, say, ( in your calculations. You can always plug in ( = 2-1/3 at the end.]