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(+ 5)* 6. The Bernoulli-Laplace model, is a simple discrete model for the diffusion of two
incompressible gases (fluids) between two containers. It can be formulated as a simple ball and
urn model. Thus, suppose that we have two urns, labeled 1 and 2. Each contains N balls, Urn 1
contains j red balls and N - j blue balls and urn 2 contains k red and N - k blue balls. At each
discrete time, independently of the past, a ball is selected at random from each urn and then the
two balls are switched. The balls of different colors correspond to molecules of different types,
and the urns are the containers. The incompressible property is reflected in the fact that the
number of balls in each urn remains constant over time. For N = 2. j = 2. k = 0 find the limit
distribution in both containers.
Solution
http://www.math.uah.edu/stat/markov/BernoulliLaplace.html
this link helped me a lot in understanding limit distribution. Hope it helps you too.
If u have any trouble plz ask again.

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(+ 5) 6. The Bernoulli-Laplace model, is a simple discrete model for.pdf

  • 1. (+ 5)* 6. The Bernoulli-Laplace model, is a simple discrete model for the diffusion of two incompressible gases (fluids) between two containers. It can be formulated as a simple ball and urn model. Thus, suppose that we have two urns, labeled 1 and 2. Each contains N balls, Urn 1 contains j red balls and N - j blue balls and urn 2 contains k red and N - k blue balls. At each discrete time, independently of the past, a ball is selected at random from each urn and then the two balls are switched. The balls of different colors correspond to molecules of different types, and the urns are the containers. The incompressible property is reflected in the fact that the number of balls in each urn remains constant over time. For N = 2. j = 2. k = 0 find the limit distribution in both containers. Solution http://www.math.uah.edu/stat/markov/BernoulliLaplace.html this link helped me a lot in understanding limit distribution. Hope it helps you too. If u have any trouble plz ask again.