For species that reproduce sexually, characteristics are determined by a gene from each parent. Suppose that for a certain trait there are two possible genes available from each parent: a dominant gene D and a recessive gene r. Then the different gene combinations (called genotypes) for the offspring are DD, Dr, rD, and rr, where Dr and rD produce the same trait. Suppose further that these genotypes are the states of a Markov chain with the transition matrix given below. If the initial occurrence of those genotypes in the population is 0.1 for DD, 0.2 for Dr, and 0.7 for rr, find the distribution (probability) of each type of the second generation of offspring. Round all numerical values in your answer to two decimal places.

Question

For species that reproduce sexually, characteristics are determined by a gene from each parent. Suppose that for a certain trait there are two possible genes available from each parent: a dominant gene D and a recessive gene r. Then the different gene combinations (called genotypes) for the offspring are DD, Dr, rD, and rr, where Dr and rD produce the same trait. Suppose further that these genotypes are the states of a Markov chain with the transition matrix given below. If the initial occurrence of those genotypes in the population is 0.1 for DD, 0.2 for Dr, and 0.7 for rr, find the distribution (probability) of each type of the second generation of offspring. Round all numerical values in your answer to two decimal places. ​  ​

Quizplus · Accepted Answer

The Answer of For species that reproduce sexually, characteristics are determined by a gene from each parent. Suppose that for a certain trait there are two possible genes available from each parent: a dominant gene D and a recessive gene r. Then the different gene combinations (called genotypes) for the offspring are DD, Dr, rD, and rr, where Dr and rD produce the same trait. Suppose further that these genotypes are the states of a Markov chain with the transition matrix given below. If the initial occurrence of those genotypes in the population is 0.1 for DD, 0.2 for Dr, and 0.7 for rr, find the distribution (probability) of each type of the second generation of offspring. Round all numerical values in your answer to two decimal places. ​  ​

For Species That Reproduce Sexually, Characteristics Are Determined by a Gene