In a recent year, the percentage of patients at a doctor's office who received a flu shot was 60%. 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 80% 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. Complete parts (a) through (c) below. (a) Give the transition matrix for this situation. Set up the transition matrix P so that the first row and first column represent obtaining a flu shot and the second row and second column represent not obtaining a flu shot. P= (Type an integer or decimal for each matrix element.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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In a recent year, the percentage of patients at a doctor's office who received a flu shot was 60%. 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 80% 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.
Complete parts (a) through (c) below.
(a) Give the transition matrix for this situation. Set up the transition matrix P so that the first row and first column
represent obtaining a flu shot and the second row and second column represent not obtaining a flu shot.
P =
(Type an integer or decimal for each matrix element.)
Transcribed Image Text:In a recent year, the percentage of patients at a doctor's office who received a flu shot was 60%. 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 80% 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. Complete parts (a) through (c) below. (a) Give the transition matrix for this situation. Set up the transition matrix P so that the first row and first column represent obtaining a flu shot and the second row and second column represent not obtaining a flu shot. P = (Type an integer or decimal for each matrix element.)
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