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 6 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 Given that the 4th incorrect record is the 105th record checked, what is the expected number of records checked until the 10th incorrect record is found? (Report answer to three decimal places. Answer must be within +- 0.001 of correct value.)

Explanation / Answer

Now here we are given that the 105th record is the 4th incorrect one. Therefore to have total of 10 incorrect ones, we need 6 incorrect more. Probability of getting an incorrect one is given as = 1 - 0.84 = 0.16

Therefore expected number of extra records to be checked to get 6 more incorrect ones is given as:

= 6* ( 1/ 0.16 )

= 37.5

Therefore 37.5 more have to be checked to get 6 more incorrect ones.

Therefore total expected number of records that needs to be checked until the 10th incorrect record is found is computed as: 105 + 37.5 = 142.500

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