PLEASE DON\'T SPAM. IT\'S REALLY URGENT AND I WOULD REALLY APPRECIATE A GOOD ANS

Question

PLEASE DON'T SPAM. IT'S REALLY URGENT AND I WOULD REALLY APPRECIATE A GOOD ANSWER! THANKS!

6. (15 pts) Let Xn be the maximum reading obtained in the first n throws of a fair die and Y n be the minimum reading obtained in the first n throws of a fair die. (a) Explain why X1, 13, forms a Markov chain. (b) Find the transition probability matrix for the chain and draw the transition graph. (c) Is Xnh irreducibl or reducible? Explain. de et Zn denote the maximum reading obtained in the first n throws. Does Zn) have a limiting (equilibrium) distribution? If yes, find the limiting distribution. If not, explain why not (do not give a mathematical reason, but rather explain what makes this Markov chain special). (e) Is Y,Y, Y3, a Markov chain? Explain

Explanation / Answer

Xn and yn does form a markov chain because the occurance of one event doens not depend on its previous event at all. The fair dies is the event which does not depend on the number got in the previous dies.

Xn is reducible because once we have got 6 that is the maximum number, if we try for infinitive times the Xn will be 6 in this case.

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.