7. [Independence] Let U = {0,1}5 and R be a random variable uniform over U. Define the following random variables: X = Isb3(R) and Y=msb3(R), where "Isb;" denotes 3 least significant bits and "msb;" denotes 3 most significant bits. Are X and Y independent or not? Argue your answer formally using the definition of independence. [15 points] 7. [Independence] Let U = {0,1}5 and R be a random variable uniform over U. Define the following random variables: X = Isb3(R) and Y=msb3(R), where "Isb;" denotes 3 least significant bits and "msb;" denotes 3 most significant bits. Are X and Y independent or not? Argue your answer formally using the definition of independence. [15 points]