ISyE 3232
Stochastic Manufacturing and Service Models
Fall 2011
H. Ayhan
Homework 1
August 19, 2011
Due: at the start of class on Monday, August 29
1. Suppose a beagle is working in customs inspecting passengers’ luggage for banned substances, and
the beagle alerts the handler by sitting next to the location of the banned substance. What would
be a reasonable guess for the distribution (e.g., Bernoulli, binomial, geometric, Poisson, exponential,
uniform, normal) of each the following: (a) the number of alerts by the beagle during the next 3 hours,
(b) the length of time until the next alert, (c) the number of bags sniﬀed before alerting, (d) whether
or not the beagle alerts when sniﬃng the next bag, (e) the number of alerts out of the next 30 bags
sniﬀed, and (f) the combined weight of the next 30 bags that the beagle indicates are carrying banned
substances?
2. Let
X
have mean 4 and variance 100. What is the mean and variance of 6

4
X
? What is the mean
and variance of (
X

3)
This is the end of the preview. Sign up
to
access the rest of the document.
This note was uploaded on 12/07/2011 for the course ISYE 3232 taught by Professor Billings during the Fall '07 term at Georgia Tech.
 Fall '07
 Billings

Click to edit the document details