Answer to Question #57338 in Statistics and Probability for Bob

Question

Suppose a gene in a chromosome is of type A or type B. Assume that the probability that a gene of type A will mutate of type B in one generation is 10^−4 and that a gene of type B will mutate to type A is 10^−6.

(A) What is the transition matrix?
(B) After many generations, what is the probability that the gene will be of type A? or type B? (Find the stationary matrix.)