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In: Statistics and Probability

35% of the population is in state A, 25% in state B, and 40% in state...

35% of the population is in state A, 25% in state B, and 40% in state C.

The monthly transition matrix, T, is:

                     A        B       C

           A      .1        .5      .4

T=    B       .3       .25    .45

           C      .5        .3       .2

a) What percent will be in state A after five months?

b)Find the equilibrium vector for the population.

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