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 9 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 69th record checked, what is the probability that at least 6 of the first 90 records are incorrect? (Report answer to three decimal places. Answer must be within 0.001 of correct value.)

Explanation / Answer

X - number of incorrect record

P(X>= 6 in 90 |X =4 in 69)

= P(X >= (6-4) in (90 -69))

= P(X >= 2 in 21)

p=1- 0.84 =0.16 , n=21

X follow binomial distribution

P(x>=2) = 1 - P(X<=1)

= 1 - P(X =0) -P(X =1)

=

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