(4 pts each) Sheryl works in a law office as a paralegal, where she quickly scan

Question

(4 pts each) 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. (a) For a particular case, suppose Sheryl’s chances of finding a smoking gun is .00045, and her chances of finding an oh s*** is .00032, both of which are really small numbers. Find the expected number of documents Sheryl would need to scan before needing to contact the head lawyer.

Explanation / Answer

HEre chances of finding a smoking gun (A)= 0.00045

chances of finding an oh s*** (B) = 0.00032

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. As these two are independent events in nature.

THen Pr(Finding any of these two tiype of thing) = Pr(A U B) = Pr(A) + Pr(B) = 0.00045 +0.00032 = 0.00077

SO Expected number of documents Sheryl would need to scan before needing to contact the head lawyer = 1/P(A U B) = 1/ 0.00077 = 1298.70 days or 1299 days

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