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Unformatted text preview: Question 3( marks 20 ). (a) marks 10 Multiply each vector by the appropriate scalar to Form a prob-ability vector: (i) (2, 3, 0, 5 ), (ii) (3, 0, -1, 3), (iii) (1, 1, 1, 1, 1), (iv) (0, 0, 0, 0, 0) (b)(marks 10) IF t = (1/4, 0, 1/2, 1/4) is a fxed point oF a stochastic matrix P, why P is not regular ? Question 4(marks 30). A salemans territory consists oF three cities, A, B and C. he never sells in the same city on successive days. IF he sells in city A, then the next day he sells in city B. However, iF he sells in either B or C, then the next day he is three times likely to sell in city A as in the other city. In the long run, how oFten does he sell in each oF the cities?...
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- Spring '09