Sheryl works in a law office as a paralegal, where she quickly scans hundreds of
ID: 3316997 • Letter: S
Question
Sheryl works in a law office as a paralegal, where she quickly scans hundreds of documents looking for smoking guns, a significant piece of evidence in support of their side. Occasionally she will find an oh s***, a significant piece of evidence against their side in a case. If she find either a smoking gun or an oh s***, she immediately contacts the head lawyer in the case to discuss what she found. We will assume finding a significant piece of evidence from document to document are independent events.
Question: A head lawyer has promised Sheryl a gift certificate to Highlands Grill if she can find three or more smoking guns for a particular case. Assuming that the number of documents are endless, and the chances of finding a smoking gun is .00004, what is the expected number of documents Sheryl needs to scan for her math professor husband to enjoy a night out at Highlands Grill?
Explanation / Answer
Assuming that the number of documents are endless, and the chances of finding a smoking gun is p = 0.00004, the expected number of documents Sheryl needs to scan for her math professor husband to enjoy at night out at Highlands Grill is computed as:
= Number of documents required / Probability of finding a smoking gun.
= 3 / 0.00004
= 75000
Therefore 75,000 is the expected number of documents that needs to be scanned.
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