# The quality assurance departme

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 0.95 probability of being correct. Suppose the employee begins checking medical records at some point in time.

1. What is the probability that 7 of the first 10 medical records are correct?
2. On average, how many of the first 40 records will be correct?
3. Given that 3 of the first 5 records are correct, what is the probability that 8 of the first 12 records are correct?
4. What is the standard deviation of the number of correct records in the first 30 records?
5. What is the probability that there are at least 2 correct records in the first 3 records checked?
6. Determine the probability that there are less than two incorrect records in the first 5 records checked.
7. Given that 5 of the first 8 records are correct, on average, how many of the first 22 records are correct?

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