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A large hospital uses two medical labs for blood work, biopsies, throat cultures

ID: 2978392 • Letter: A

Question

A large hospital uses two medical labs for blood work, biopsies, throat cultures and other medical tests. Lab 1 does 60% of the reports. The other 40% of the reports are done by Lab 2. Based on long experience, it is known that about 10% of the reports from Lab1 contain errors and that about 7% of the reports from Lab2 contain errors. (i) what is the probability that a report will contain an error? (ii) The hospital recently received a lab report that, through additional medical records, was revealed to be incorrect. What is the probability that it came from Lab1?

Explanation / Answer

1)0.088 = (.6*.1+.$*.07) 2)0.6*0.1/0.088 = 0.68

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