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Problem 6.1 When a basketball player makes a shot, then he/ she tries a harder shot the next time and hits (H) with probability 0.4, so misses (M) with probability 0.6. When he/ she misses he/ she is more conservative the next time and hits (H) with probability 0.65, misses (M) with probability 0.35. (a) Write the transition probability for the two state Markov chain with state space S = {H , M}. (b) Find the long-run fraction of time he/ she hits a shot