A head cardiovascular surgeon submits the following tables describing procedures
ID: 3273056 • Letter: A
Question
A head cardiovascular surgeon submits the following tables describing procedures that he his department completed, and the insurance information for one quarter at a local hospital.
.
Insurance Type Count
VA 41
Medicaid 276
Medicare 384
Private 72
Procedure Count
Heart Valve Repair 117
Arrhythmia Treatment 211
Heart Transplant 22
Coronary Bypass 423
What is the probability that, if chosen at random, a patient will be covered by Medicare insurance?
Assuming the conditional probability of a patient having Medicare coverage receives arrhythmia treatment is 0.64, what is the joint probability of receiving arrhythmia treatment and having Medicare coverage?
What is the probability of receiving arrhythmia treatment?
What can we say about these events? Provide evidence.
Explanation / Answer
total number of patients = 41+276+384+72 = 773
a)
probability that patient will be covered by medicare = 384/773 = 0.4968
b)
P(A/M) = P(A and M)/P(M)
=>
Probabilty of receiving arrhythmia treatment and medicare coverage
= P(A/M) * P(M)
= 0.64 * 0.4968
= 0.318
c)
probability of receiving arrhythmia treatment
=211/773
= 0.273
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