Question

a. Draw a Markov diagram modelling the following: A fly 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 probability 0.36 stays at the same place with boobability 0.4, in dependently of the past history of movements A spideo is lurking at positions 1 & m=4, 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

ANSWER:

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

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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