Answered

IDNLearn.com: Where questions are met with accurate and insightful answers. Join our community to receive prompt and reliable responses to your questions from experienced professionals.

Markov chains find direct applications in genetics. Here is an example. An offspring of a black dog is black with probability 0.6 and brown with probability 0.4. An offspring of a brown dog is black with probability 0.2 and brown with probability 0.8. (a) Write the transition probability matrix of this Markov chain. (b) Rex is a brown dog. Compute the probability that his grandchild is black.

Sagot :

Francocanacariidn

Therefore, the probability that Rex's grandchild is black is between 12% and 32%.

Given that an offspring of a black dog is black with probability 0.6 and brown with probability 0.4, and an offspring of a brown dog is black with probability 0.2 and brown with probability 0.8, knowing that Rex is a brown dog, to determine the probability that his grandchild is black the following calculation must be performed:

  • Sons of Rex =
  • 0.2 black
  • 0.8 brown
  • Rex's grandchildren
  • 0.2 x 0.6 = 0.12
  • 0.8 x 0.4 = 0.32

Therefore, the probability that Rex's grandchild is black is between 12% and 32%.

Learn more about maths in https://brainly.com/question/25916930

Thank you for being part of this discussion. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. IDNLearn.com is your go-to source for accurate answers. Thanks for stopping by, and come back for more helpful information.