Define a random variable X to be the number of heads. What is the distribution of X? (c) Define a random variable Y to be 1 if you get a heads followed by a tails and 0 otherwise. What is the distribution of Y? (d) Compute the conditional probabilities P[Y = i | X = j] for all i, j. (e) Define a third random variable Z = X Y. Use the conditional probabilities you computed in part (d) to find the distribution of Z