From the given data m=4
From the modelling data given Markov figure can be as follows
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) Draw a Markov diagram modelling the following A fly moves along a straight line in...
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...
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...
3. A spider hunts a fly moving between the positions 1 and 2 according to a Markov Chain P= 0.3 0.7 The fly, independently of the spider, moves between 1 and 2 according to a second Markov with transition matrix 0.0.3 Chain whose transition matrix is 0.4 0.6 0.6 0.4 The hunt finishes the first time both the spider and the fly are on the same position, (a) Describe the hunt with a suitable 3 states Markov Chain; (b) Assuming...
3. A spider hunts a fly moving between the positions 1 and 2 according to a Markov Chain with transition matrix 0.7 0.3 The fly, independently of the spider, moves between 1 and 2 according to a second Markov Chain whose transition matrix is 0.4 0.6 0.6 0.4 -(04) The hunt finishes the first time both the spider and the fly are on the same position, (a) Describe the hunt with a suitable 3 states Markov Chain (b) Assuming that...
Suppose that a particle starts at the origin of the real line and moves along the line in jumps of one unit. For each jump, the probability is p(0≤p≤1) that the particle will jump one unit to the left and the probability is 1−p that the particle will jump one unit to the right. Find the expected value of the position of the particle after n jumps.
Topic 3 (About CLT and Bayes'Theorem: 10 marks] A particle moves along the line in a random walk. That is, the particle starts at the origin (position 0) and moves either 2 units to the right or I unit to the left in independent steps. If the particle moves to the right with probability 2/3, its movement at the ih step is a random variable X, with distribution P(x+2)-2/3 P(X,-)=13 The position of the particle after 400 steps is the...