Below is a table of the expected sources of payment of hospital charges in the U
ID: 3131553 • Letter: B
Question
Below is a table of the expected sources of payment of hospital charges in the US, year 1990. Use the data to answer the questions below.
Source of Payment
Probability
Private Insurance
0.387
Medicare
0.345
Medicaid
0.116
Other Government Program
0.033
Self-payment
0.058
Other/No charge
0.028
Unknown
0.033
Total
1.000
a) What is the probability that Medicare is the principal source of payment for a particular patient's hospital charges?
b) What is the probability the hospital charges for a particular patients are self-paid or paid by private insurance?
c) What is the probability that the hospital charges for a patient are paid by Medicare, given that the cahrges are paid by a government program?
Source of Payment
Probability
Private Insurance
0.387
Medicare
0.345
Medicaid
0.116
Other Government Program
0.033
Self-payment
0.058
Other/No charge
0.028
Unknown
0.033
Total
1.000
Explanation / Answer
answer of a) from the given table
probability that Medicare is the principal source of payment for a particular patient's hospital charges=0.345
answer of b)
probability the hospital charges for a particular patients are self-paid or paid by private insurance=probability the hospital charges for a particular patients is self-paid+probability the hospital charges for a particular patients paid by private insurance=0.387+0.058=.445
answer of c)
p(medicare/govt plan)=p(medicare and govt plan)/p(govt plan)=p(medicare)*p(govt plan)/p(govt plan)=p(medicare)=0.345
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