sydneylocascio26
26.02.2020 •
Mathematics
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
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Ответ:
1/12
Step-by-step explanation:
The probability of getting a three on a fair die is 1/6
The probability of getting tails on an unbiased coin is 1/2
Then the probability of getting a three on a fair die and tails on an unbiased coin is 1/6 x1/2=1/12