Question

An amateur gardener with training in botany is experimenting with scientific cross pollination of pink irises with red white and orange irises. his annual experiments show that pink can produce 60% pink and 40% white, red can produce 40% red ,50% pink and 10% orange, orange can produce 25% orange, 50% pink and 25% white, and white can produce 50% pink and 50% white.

a. express the gardener situation as markov chain.

b. if the gardener started the pollination with equal number of irises then what would be the distribution after 5 years and after infinity?

c. how many years on average would a red iris take to produce a white bloom?

Answer 1

I also want this answer

Answer 2

Markov chain is basically a mathematical system which experiences transitions from one state to another state following the basics of  certain probabilistic rules. The characteristic features of a Markov chain is that it does not matter how the process is arrived at its present state, the possible future states are always fixed. It is named after Andrey Markov.