Consider the points 1, 2, 3, 4 to be marked on a straight line. Let Xn be a Markov chain that moves to the right with probability 2/3 and to the left with probability 1/3, but subject this time to the rule that if Xn tries to go to the left from 1 or to the right from 4 it stays put. Find (a) the transition probability for the chain, and (b) the limiting amount of time the chain spends at each site

i think it is everything has to equal 180 so, if i correct 4=c. 6=d. 8=a. 7=b. and the last question would be c. because they are parallel lines and they are congruent.

step-by-step explanation:

the reason everything has to equal to 180 is because that is how it works. i'm guessing that is its rule. 4 and 8 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 6 and 7 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 60+60 is 180. so, now you have your answer

12

step-by-step explanation:

12 + 5 = 17

12x2=24

24-7=17

step-by-step explanation:

no solution.