1. Assume that the probability of rain tomorrow is 0.5 if it is raining today, and assume that the..


1. Affect that the probability of rain tomorrow is 0.5 if it is raining today, and affect that the probability of its substance manifest (no rain) tomorrow is 0.9 if it is manifest today. Also affect that these probabilities do not fluctuate if instruction is also provided about the sphere precedently today. (a) Explain why the stated assumptions include that the Markovian estate holds for the evolvement of the sphere. (b) Formulate the evolvement of the sphere as a Markov association by defining its states and giving its (one-step) transition matrix.