lease provide steps for how you got the solution to the problem provided below. I own two umbrellas and keep them either at home or in the office. In the morning I leave my home and head to the office and then come back in the evening. If when I leave either location it is raining, I will grab an umbrella (if available) and carry it with me all the way and then leave it at the destination. I do not relocate the umbrellas for any reason other than using them to move when raining (in other words, if it is not raining, I leave all umbrellas where they are). For simplicity, assume that it rains with probability 0.2 in the morning and with the probability 0.4 in the evening (independently from each other). Model the location of umbrellas as a Markov chain. Give transition matrix and transition diagram. If I have 2 umbrellas at home monday morning, what is the expected number of umbrellas that I will have on Wednesday? Define states as the number of umbrellas at my home in the morning and assume one transition per day.
Please provide steps for how you got the solution to the problem provided below.
I own two umbrellas and keep them either at home or in the office. In the morning I leave my home and head to the office and then come back in the evening. If when I leave either location it is raining, I will grab an umbrella (if available) and carry it with me all the way and then leave it at the destination. I do not relocate the umbrellas for any reason other than using them to move when raining (in other words, if it is not raining, I leave all umbrellas where they are). For simplicity, assume that it rains with probability 0.2 in the morning and with the probability 0.4 in the evening (independently from each other). Model the location of umbrellas as a Markov chain. Give transition matrix and transition diagram. If I have 2 umbrellas at home monday morning, what is the expected number of umbrellas that I will have on Wednesday?
Define states as the number of umbrellas at my home in the morning and assume one transition per day.
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