IND ENG 161 Study Guide - Final Guide: Independent And Identically Distributed Random Variables, Bomb Disposal, Poisson Point Process

• School: Berkeley
• Department: Industrial Engineering And Operations Research
• Course: IND ENG 161
• Professor: All

Document Summary

7 questions: [5+5] let x and y be independent exponential random variables where x has rate and y has rate . Calculate e[min(x, y )] and var(min(x, y )): [10+10] jack the bomb disposal expert nds two live bombs in an abandoned warehouse in the outskirts of los angeles. The rst bomb will explode at an exponential time with rate. 1 and the second at an exponential time with rate 2. Jack takes an exponential amount of time with rate to disarm a bomb (regardless of the bomb). Doyle takes an exponential time with rate 2. )1: [10+10] patrons arrive at a store according to a poisson process with rate . 1assume that circumstances are such that both bombs are next to each other, that it is too dangerous to move either bomb, and that the consequences of either bomb exploding are enormous (e. g. they are nuclear devices).