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Roll a fair 6-sided die repeatedly and letY1,Y2,...be the resulting numbers. Let Xn=|{Y1,Y2,...,Yn}|be the number of...

Roll a fair 6-sided die repeatedly and letY1,Y2,...be the resulting numbers. Let Xn=|{Y1,Y2,...,Yn}|be the number of values we have seen in the first n rolls for n≥1 and setX0= 0.Xn is a Markov chain.(a) Find its transition probability.(b) Let T= min{n:Xn= 6}be the number of trials we need to see all 6 numbers at least once. Find E[T]. Please explain how/why

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