Unformatted text preview: Markov chain. (a) Determine the transition matrix of the Markov chain. (b) If a trip starts in Dallas ﬁnd the probability that it ﬁnishes in Chicago. (c) Assume that trips start in the morning and ﬁnish in the evening of the same day. If the driver is in Chicago on Wednesday morning ﬁnd the probability that he will be back in Chicago one day later, i.e. Thursday evening. 5. Consider the “college progression” example from class (section 2.7 in the book). Let p i = i 20 , 1 ≤ i ≤ 4 and q i = i 5 , 1 ≤ i ≤ 4. Assume that at some point a student (somebody who is still in college) is equally likely to be freshman, sophomore, junior or senior. (a) Compute the probability that a year later the same student is junior. (b) If during a school year a student is junior, ﬁnd the probability that during that same school year he/she will leave college. 1...
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- Spring '08
- Markov chain, Markov Chain Models