Question

the following A fly Draw a Markov diagram modelling moves along a straight line in unit increments. At each time period, it moves one unit to the left with probability 0.3 & to the right with boobability 0.8 € stays at the same place with boobability 0.4, in deßendently of the past history of movements. A spideo is lusking at positions 1 & m34, if the fly lands there it is captured & the process terminates Assume that the fly starts in one of the positions 2003 Celse there is no point!! )

Answer 1

This is a basic problem of Markov Chain and can be solved as follows-

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Lets states (1,2,..m) introduce P, = 1 and identify Immal Pis So.3, j=i-1 of its jsi it E2, m.1 0.4 ) Transition probability graph & matrix can be drawn as may 0-3 CO< 0:3 0.3 Spider spider 2 3 O 0 2 10.3 0.3 0 3 0.3 0.4 Ч o O

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