Solve the problem.A national study of collegiate beer drinkers revealed the following facts:(I) Among current beer drinkers, 30% prefer one of the "light" beers and 70% prefer "regular" beer.(II) In any given year, 20% of the "light" drinkers switch to "regular," and 25% of the "regular" drinkers switch to "light."(a) Write the initial distribution matrix. (Label the matrix using L for "light" and R for "regular.")(b) Write the transition matrix for the study. (Label columns and rows using L for "light" and R for "regular.")(c) In the long run what proportion of collegiate beer drinkers drink "light"?

Question

What will be an ideal response?

Answer 1

(a)
 

(b)