3. a) In a sequence of independent ips of a biased coin {probability of a head is .65), let N denote the number of ips until there is a run of three consecutive heads. Find L Pmsn n Pm=m h) In MDP our goal is to identify the optimal policy that maximizes the expected reward. State the steps [Bellman Equation) employed to calculate the maximum expected utility Reward. '\" = 10 C02 P02 10 C03 P03 0 5 C02 P02