TJ flips a fair coin two times, and Rita flips a biased coin once (Rita's coin lands on heads 2/3 of the time). Denote by X the total number of heads from all of TJ's and Rita's flips. i) Compute the probability P (X = 2). ii) Compute the conditional probability that X = 2 given that TJ's first flip is a heads. iii) Compute E[X].