Mathematics, 19.10.2021 09:40 kayla6653
1.67. Roll a fair die repeatedly and let Y1; Y2; : : : be the resulting numbers. Let Xn D jfY1; Y2; : : : ; Yngj be the number of values we have seen in the first n rolls for n 1 and set X0 D 0. Xn is a Markov chain. (a) Find its transition probability. (b) Let T D minfn W Xn D 6g be the number of trials we need to see all 6 numbers at least once. Find ET.
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1.67. Roll a fair die repeatedly and let Y1; Y2; : : : be the resulting numbers. Let Xn D jfY1; Y2;...
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