Consider the following experiment: Roll a fair six-sided die (d6) once, and record the number as X, Then flip a fair coin X times, and record the number of heads that appear as Y. (a) Compute P(Y = 4 | X = 6). (b) Compute P(Y = 4). (c) Compute P(X=6 | Y = 4). Hint: Use your solutions to (i) and (ii).