What is the expected length of stay for Dr. Smith’s patients in the matrix below
ID: 433296 • Letter: W
Question
What is the expected length of stay for Dr. Smith’s patients in the matrix below?
Clinician
Patient Diagnosis
Avg LOS (days)
Dr. Smith
Previous MI(35%)
MI-CHF(22%)
6.5
MI-No CHF
BP<90(65%)
3.8
BP>90
5.2
No Previous MI
CHF(60%)
BP<90(80%)
3.1
BP>90
4.8
No CHF
BP<90(30%)
2.1
BP>90
4.0
Clinician
Patient Diagnosis
Avg LOS (days)
Dr. Smith
Previous MI(35%)
MI-CHF(22%)
6.5
MI-No CHF
BP<90(65%)
3.8
BP>90
5.2
No Previous MI
CHF(60%)
BP<90(80%)
3.1
BP>90
4.8
No CHF
BP<90(30%)
2.1
BP>90
4.0
Explanation / Answer
Expected length of stay for Dr. Smith's patients
= 0.35*(0.22*6.5+(1-0.22)*(0.65*3.8+(1-0.65)*5.2))+(1-0.35)*(0.6*(0.8*3.1+(1-0.8)*4.8)+(1-0.6)*(0.3*2.1+(1-0.3)*4))
= 3.91 days
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