Question: The Kimura model for DNA sequence evolution gives a higher probability for a transition (from A to G, from G to A, from T to

The Kimura model for DNA sequence evolution gives a higher probability for a transition (from A to G, from G to A, from T to C, or from C to T; probability ) than a transversion (from A to C, from C to A, from T to G, or from G to T; probability ) with > (Sinha 2007).

a. Under this model, give the formula for the probability that a base at a particular position does not mutate from one evolutionary time step to the next.

b. Give the general transition matrix for this model.

c. Give the transition matrix in the situation where = 0.25 and = 0.10, and determine the ultimate distribution of bases.

d. Determine the ultimate distribution of bases for the general matrix of Part b.

e. What conclusions do you draw from your calculations?

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