stat2303_tutorial06

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Unformatted text preview: tion probability matrix as follows: 1 2 3 0 1 1 ⁄4 3 ⁄4 2 1 ⁄3 1 ⁄3 1 ⁄3 30 1 ⁄4 3 ⁄ 4 Suppose the probability distribution of the initial state, , , , a) Determined the probability 1, 2, 2 4. A Markov chain , 1, 13 34 1 16 2| 2| 2, 2 2, 2 1 2| 1 2| 1 1,2,3 , is 1 1 1 4 2, b) Show that the probability 2, Semester 1, 2010­11 2| 1 1 2| 2| 2, 2 2| c) Determine the probability 1 ⁄4 3 ⁄4 0 1 ⁄3 1 ⁄3 1 ⁄3 0 1 ⁄4 3 ⁄ 4 2| 1 ⁄4 1 ⁄3 0 1 2| 3 ⁄4 0 1 ⁄3 1 ⁄3 1 ⁄4 3 ⁄ 4 7 16 5⁄16 7⁄16 7⁄36 4 ⁄9 1⁄12 13⁄48 2 17 4 16 115 288 Page 5 of 5 1 1 2 d) Determine the probability 2| 1 1 2 4 9 1 4 13 48 1 ⁄4 13⁄36 31⁄4 8...
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