I can't solve the following problem:

7 Balls in Bins Estimation We throw n > 0 balls into m 2 2 bins. Let X and Y represent the number of balls that land in bin 1 and 2 respectively. (a) Calculate IE[Y | X]. [Hint Your intuition may be more useful than formal calculations] (b) What are L[Y |X] and Q[Y | X] (where Q[Y | X] is the best quadratic estimator of Y given X)? [Hint Your justication should be no more than two or three sentences, no calculations necessary! Think carefully about the meaning of the MMSE.] (c) Unfortunately, your friend is not convinced by your answer to the previous part. Compute lE[X] and IE[Y]. (d) Compute Var(X). (e) Compute cov(X,Y). (f) Compute L[Y | X] using the formula. Ensure that your answer is the same as your answer to part (b)