College Algebra
College Algebra
7th Edition
ISBN: 9781305115545
Author: James Stewart, Lothar Redlin, Saleem Watson
Publisher: Cengage Learning
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Transcribed Image Text:Let (Xn)n≥o be a sequence of independent, identically distributed random variables, where each X is the outcome of rolling a biased 4-sided die, taking values in S = {1,2,3,4} and with probability distribution P(X = 1) = 1/2, P(X = 2) = P(X = 3) = P(X = 4) = 1/6. Which of the following is true? a. (Xn) no is not a Markov chain as the outcome of ✗+1 does not depend on the outcome of X. b. (Xn)no is not a Markov chain as the outcome of Xn+1 depends on the outcome of Xo. c. (X)n20 is a Markov chain as the future only depends on the present. d. (Xn)no is a Markov chain because it has an equilibrium distribution μ = (1/2, 1/3, 1/6). e. (Xn)no is a Markov chain because it is a sequence of independent random variables.
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