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Unformatted text preview: ISyE 2027 Probability with Applications Fall 2006 R. D. Foley Homework 9 November 16, 2006 due on Tuesday 1. This is the example that we discussed in class. Suppose there is an aisle 10 meters long, which seems a little short but thats what was suggested by someone in the class. A person has to walk to some random point L in the aisle to pick up an item. Initially, assume L is uniformly distributed over the aisle. Also assume that the person walks at a speed of 2 meters per second and takes 3 seconds to retrieve the item from the shelf. Let R be the total round trip travel time including picking up the item. (a) What is the mean of L ? (b) What is the variance of L ? (c) What is the c.d.f. of L ? (d) What is the function g ( L ) such that R = g ( L )? (e) What is the mean of R ? (f) What is the variance of R ? (g) What is the c.d.f. of R ? (h) What is the p.d.f. of R ? 2. This is the same example that we continued in class. Assume that 10% of the items cause 90% of the activity. Suppose we move the most active 10% to the first meter of the aisle. Letactivity....
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This note was uploaded on 02/01/2010 for the course ISYE 2027 taught by Professor Zahrn during the Spring '08 term at Georgia Institute of Technology.
- Spring '08