markov chain
Posted: Thu Feb 17, 2022 11:07 am
markov chain
Exercise 3: Markov Chains Consider the transition matrix on page 2 of the second Chapter from the lecture. The probability that a given nucleotide has changed from a given base to a given other base within 1 million years is assumed here to be 0.01 for all combinations of bases. (a) What is the probability that a given nucleotide A will no longer be A after 10 million years and after 40 million years, respectively? (b) After how many years is the probability that a given base initially occupied by a nucleotide A is still an A less than 30 %? Against which limit does this probability converge?
P= + A + G + C AG + C + T A → 0.97 0.01 0.01 0.01 0.01 0.97 0.01 0.01 C 0.01 0.01 0.97 0.01 T + 0.01 0.01 0.01 0.97 G →
- Markov Chain 1 (27.42 KiB) Viewed 29 times
- Markov Chain 2 (12.4 KiB) Viewed 29 times
P= + A + G + C AG + C + T A → 0.97 0.01 0.01 0.01 0.01 0.97 0.01 0.01 C 0.01 0.01 0.97 0.01 T + 0.01 0.01 0.01 0.97 G →