Consider the weather can be in either state 1=rain or state 2= no rain. Each time the system enters state i, it remains

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Consider The Weather Can Be In Either State 1 Rain Or State 2 No Rain Each Time The System Enters State I It Remains 1 (25.65 KiB) Viewed 12 times

Consider the weather can be in either state 1=rain or state 2= no rain. Each time the system enters state i, it remains there for a random amount of time having mean μi, and then makes a transition into state j with probability Pij. Suppose that if it rains today, then it will rain tomorrow with probability 0.7; if it does not rain today, then it will rain tomorrow with probability 0.4. a. What is the transition probability matrix b. What proportion of transitions takes the system into each state If µ₁-2 and µ₂-3 then what proportion of time does the system spend in each state?