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

Question

4. (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.(e) Suppose the time it takes Sheryl to scan documents are independent identically distributed random variables. She clearly reads many, many, many documents for each case. Explain how you would model the average amount of time it takes Sheryl to scan a case. How do you justify your model?

Explanation / Answer

(e) Here as Sherly times to scan documents are independently identically distributed random variables. So, as She clearly reads a lot of documents. So, if we wish to model the average amount of time it takes sherly to scan a case. It will be assumed a normal distribution. BEcause as data is large than it would have a symmetric distribution toward mean. For large numbe of samples, the average amount of time would follow a normal distribution. The Central Limit Theorem entailes that  in most situations, when independent random variables are added, their properly normalized sum tends toward a normal distribution (informally a "bell curve") even if the original variables themselves are not normally distributed.

Related Questions

Navigate

• Browse (All)
• Browse 4
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.