The quality assurance department at a hospital has as one of its responsibilitie

Question

The quality assurance department at a hospital has as one of its responsibilities the verification of medical records. One of the department’s employees samples medical records and checks each one for correctness. Historical data suggests that each medical record has a 0.84 probability of being correct. Suppose the employee begins checking medical records at some point in time.

Question:

- What is the probability that there are exactly 3 incorrect records in the first 33 records checked?

- What is the probability that there are exactly 5 incorrect records in the first 15 records checked?

Explanation / Answer

Ans

What is the probability that there are exactly 3 incorrect records in the first 33 records checked?

C(33,3)*(0.84^30)*(0.16^3) = 0.119567

What is the probability that there are exactly 5 incorrect records in the first 15 records checked?

C(15,5)*(0.84^10)*(0.16^5) = 0.055

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