Let

X be a Bernoulli random variable with P(X=1) = 2/3

Let Y

be a Bernoulli random variable with P(Y=1) = 1/2

1- Given the information that you have, are

X and Y

dependent? Independent? Or requires more information to determine?

2- What are the minimum and maximum values of P(X

3-What are the minimum and maximum values of Cov[X,Y]? (prove these are the minimum and maximum)