Here we have a Markov tree diagram for two weeks of shopping activity. What if we want to extend data for 3 or 4 periods? Or 5 or 6 or more? Can we use the tree diagram for this? What's the issue with the tree diagram?

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Customer Shopped Last at Murphy's Week 0 0.9 0.1 Week 1 (first shopping trip) Shops at Murphy's 0.9 Shops at Catalina's 0.1 0.2 0.8 Week 2 (second shopping trip) Shops at Murphy's Shops at Catalina's Shops at Murphy's Shops at Catalina's Probability of Each Two-Week Pattern (0.9)(0.9) = 0.81 (0.9)(0.1) = 0.09 (0.1)(0.2) = 0.02 (0.1)(0.8)=0.08 Customer Shopped Last at Murphy's Week 0 0.9 0.1 Week 1 (first shopping trip) Shops at Murphy's 0.9 Shops at Catalina's 0.1 0.2 0.8 Week 2 (second shopping trip) Shops at Murphy's Shops at Catalina's Shops at Murphy's Shops at Catalina's Probability of Each Two-Week Pattern (0.9)(0.9) = 0.81 (0.9)(0.1) = 0.09 (0.1)(0.2) = 0.02 (0.1)(0.8)=0.08