Please provide detailed outline of your work.

Q4 Fair, and Unfair Coins 7 Points Let X be a Bernoulli random variable with P(X = 1) = 2/3. Let } be a Bernoulli random variable with P(Y = 1) = 1/2. Q4.1 Dependent or Independent 1 Point Given the information that you have, are _X" and ) dependent or independent? O X and Y are independent O X and Y are dependent Not enough information is provided to know if they are dependent or independent. Q4.3 Maximum and Minimum Covariance Q4.2 Maximum and mimimum 3 Points 3 Points What are the minimum and maximum values of Cov[X , Y]? What are the minimum and maximum values of P(X