Mathematics, 13.03.2021 04:00 jeremiahhart13

Midterm-Math 526, Fall 2016 Roll a fair die repeatedly and let Y 1 ;Y 2 ;::: be the resulting numbers. Let X n D jfY 1 ;Y 2 ;:::;Y n gj be the number of values we have seen in the first n rolls for n ? 1 and set X 0 D 0. X n is a Markov chain. (a) Find its transition probability. (b) Let T D minfn W X n D 6g be the number of trials we need to see all 6 numbers at least once. Find ET.

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Midterm-Math 526, Fall 2016 Roll a fair die repeatedly and let Y 1 ;Y 2 ;::: be the resulting number...