Problem 1. Let X and Y have the following joint distribution: X Y 0 1 0 0.40 0.10 0.10 0.10 2 0.10 0.20 a. Find E[X|Y = 0]. b. Find E[X|Y = 1]. c.

Got really confused with this question, can some one teach me how to do it

Problem 1. Let X and Y have the following joint distribution:X Y010 0.40 0.100.10 0.1020.10 0.20a. Find E[X|Y = 0].b. Find E[X|Y = 1].c. What do your answers from (a) and (b) imply about the independence of X and Y? Explain yourreasoning.d. Calculate the covariance between X and Y.e. Find of and of.