When Ali>on goe' to her fa\'Orite ice cream store. she

Chapter , Problem 29

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When Ali>on goe' to her fa\'Orite ice cream store. she bu)> etther a root beer float or a chocolate sundae. Lf she bought a float on her last visit. !here is a .25 probability that 'he "ill hoy a Hom on her nex1 vi,il. If she bought a >undae on her laM 'i>it. there i> a .5 probability that she will buy a float on her next vi~it. (a) Assuming thai this information describes a Markov cham. wnle a 1rans1tion matnx for this situation. (b) Lf Alison bought a sundae on her next-to-last visit. what i> the probability that she will buy a float on her next vi~il? (c) Over the long run. on what proponion of Alison's 11ips docs she buy a Mmdae?

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