# Study Guides for All Professors

BERKELEYIND ENG 161AllSpring

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

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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 )
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BERKELEYIND ENG 161AllSpring

## IND ENG 161 Study Guide - Final Guide: Poisson Point Process, Exponential Distribution, Markov Chain

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6 questions, total score is 150: [5, 5, 5] a machine"s revenue generating potential depends on its condition. Assume that there are 5 possible operatin
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BERKELEYIND ENG 161AllSpring

## IND ENG 161 Study Guide - Midterm Guide: Bayes Estimator, Fair Coin, Random Variable

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Solutions for midterm 1: let xi be the indicator random variable taking value 1 if the ith contestant pulls out one or two red tickets, 0 otherwise. Al
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BERKELEYIND ENG 161AllSpring

## IND ENG 161 Study Guide - Midterm Guide: Poisson Point Process, Markov Chain, Exponential Distribution

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Midterm ii: [5+5+5] paris has 4 good friends, nikki, britney, lindsay, and stavros, and enjoys spending time with each of them. To add variety to her l
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BERKELEYIND ENG 161AllSpring

## IND ENG 161 Study Guide - Midterm Guide: Poisson Point Process

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Find the probability that there are at least 3 storms this season: incidents of drug usage occur in the bathroom of harry"s restaurant. The times of th
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BERKELEYIND ENG 161AllSpring

## IND ENG 161 Midterm: ieor161-sp2004-mt2-Lim-soln

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1. (a) let tj denote the amount of time when exactly j components are working. , xj)) where {xj} are independent ex- ponential with rate . ) E[pro t] =
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BERKELEYIND ENG 161AllSpring

## IND ENG 161 Midterm: ieor161-sp2010-mt1-Lim-exam

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BERKELEYIND ENG 161AllSpring

## IND ENG 161 Study Guide - Midterm Guide: Poisson Point Process

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BERKELEYIND ENG 161AllSpring

## IND ENG 161 Study Guide - Midterm Guide: Random Variable

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1. (a) poisson arrivals take exponential amount of time. Thus, arrival of the rst man is an exponential with rate = 2 and the arrival of the rst woman
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BERKELEYIND ENG 161AllSpring

## IND ENG 161 Midterm: ieor161-sp2007-mt2-Lim-soln

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1. (a) let the states be the person paris has chosen to go out with, i. e. {n, b, l, s}. 1/3 1/3 1/3 (b) the transition matrix is doubly stochastic, li
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BERKELEYIND ENG 161AllSpring

## IND ENG 161 Midterm: ieor161-sp2010-mt1-Lim-soln

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Midterm exam i, 2010: [10+10+10] there are 3 people on a sinking ship and they can jump one at a time onto a life-raft1. The ship will sink at a time d
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BERKELEYIND ENG 161AllSpring

## IND ENG 161 Study Guide - Midterm Guide: Airline Reservations System, Poisson Point Process, Markov Chain

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4: [15] an airline reservation system has 2 indistinguishable computers, of which only one can be used at any given time. A computer in use may break d
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