n a recent year the percentage of patients at a doctors offi

n a recent year, the percentage of patients at a doctor\'s office who received a flu shot was 26%. A campaign by the doctors and nurses was designed to increase the percentage of patients who obtain a flu shot. The doctors and nurses believed there was an 85% chance that someone who received a shot in year 1 would obtain a shot in year 2. They also believed that there was a 40% chance that a person who did not receive a shot in year 1 would receive a shot in year 2.

A) Give the transition matrix for this situation

B) Find the percentage of patients in year 2 who received, and did not receive, a flu shot

C) Find the long-range trend for the Markov chain representing receipt of flu shots at the doctor\'s office.

Solution