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 10 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. Given that the 4th incorrect record is the 75th record checked, on average, how many incorrect records will be found in the first 98 records checked? (Report answer to three decimal places. Answer must be within 0.001 of correct value.)

Explanation / Answer

here there are 4 incomrrect records till 75th record. we need to check further (98-75=23 records)

in 23 records expected number of incorrect records=np=23*0.16=3.68

therefore incorrect record in first 98 records checked given first 75 records contain 4 incorrect recors

=4+3.68 =7.68

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