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Standard chessboard It is 0.831999 Bivariate Fit of Happiness By LifeExpectancy Happiness un 40 45 50 55 60 65 70 80 85 LifeExpectancy Bivariate Normal

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Standard chessboard

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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 each of the following transition matrices determine whether markov chain with matrix is regular: whose regular or no a standard chessboard an x grid possible locations. define by randomly moving single chess piece on this board. initial location xo sampled uniformly among squares. at time t then chooses xt sampling from set legal moves given its current xt. for description see: http: wikipedia. org suppose king which move any adjacent irreducible aperiodic b bishop. c knight. points x0 x2 . state space s="{1," has graph: provide fer chain. all recurrent and transient states>

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