C It has been claimed that the best predictor of todaysweather is yesterdays weather
Chapter 3, Problem 48(choose chapter or problem)
C It has been claimed that the best predictor of todaysweather is yesterdays weather. Suppose that in the town of Springfield,if it rained yesterday, then there is a 60% chance of rain today,and if it did not rain yesterday, then there is an 85% chance of norain today.(a) Find the transition matrix describing the rain probabilities.(b) If it rained Tuesday, what is the probability of rain Thursday?(c) If it did not rain Friday, what is the probability of rainMonday?(d) If the probability of rain today is 30%, what is the probabilityof rain tomorrow?(e) Find the steady-state vector.
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