Transition Probability

Consider a Markov chain {Xn : n = 0, 1, 2, ...} with state space {1, 2, 3} and one-step transition probability matrix O NIH NIH P = O 0 O (a) Mark O or X: ( ) The Markov chain is irreducible. ( ) The Markov chain is aperiodic. ( ) The Markov chain is transient. ( ) The Markov chain is recurrent. ( ) The Markov chain is null recurrent. ( ) The Markov chain is ergodic. (b) Calculate P(X5 = 1/X2 = 1). (c) Find limn + P(Xn = 1/X2 = 1).It is 0.831999 Bivariate Fit of Happiness By LifeExpectancy Happiness un 40 45 50 55 60 65 70 80 85 LifeExpectancy Bivariate Normal Ellipse P=0950 Bivariate Normal Ellipse P=0990 Bivariate Normal Ellipse P=0.950 Variable Mean Std Dev Correlation Signit. Prob Number LifeExpectancy 67.83646 11.04193 0.631999 <.0001 happiness bivariate normal ellipse p="0.990" variable mean std dev correlation signit. prob number lifeexpectancy can we conclude that being happier causes people to live longer explain. pts diagrams below show three markov chains where arrows indicate a non-zero transition probability. chain state b c whether each of the is: e irreducible . periodic giving period. consider xn with space s="{0," and matrix on hnih o let mapping f : satisfy assume if yn="f(Xn)," then when is always in other words are functions>