3. (30pt) A certain experiment is carried out independently for 1200 times, where each trial succeeds with probability - and fails with probability 2. Let X denote the total number of successes. (a) Use Markov's inequality to find an upper bound on P(X 2 360). (b) Use Chebyshev's inequality to find an upper bound on P(X 2 360). (c) Use normal approximation to estimate P(X 2 360). Express your answer in terms of the I function and find the numerical value. Compare with the above estimates