Question 3. In the transportation network below, let X the travel time on link i = 1, 2,....5 3 start A B 5 From historical records, we have good estimations of the link travel times: 10, 12, 13, 4, and 16 minutes, respectively for each link i = 1,2.....5. The covariance matrix is also known: 1. 0. 0. 12.96 0. 9.83 0. 0. 0. 9.83 0. 0. 15.21 0.62 0. 0. 0. 0.62 0.16 0. 0. 0. 0. 0. 1. a) Explain how to use the central limit theorem to answer questions b), c) and d) below. b) What is the fastest route from A to B in terms of the expected travel time? c) What is the probability that route A D B is faster than A C B? d) What is the probability that route A D B is faster than A CD B?
Question 3. In the transportation network below, let X the travel time on link i = 1, 2,....5 3 start A B 5 From historical records, we have good estimations of the link travel times: 10, 12, 13, 4, and 16 minutes, respectively for each link i = 1,2.....5. The covariance matrix is also known: 1. 0. 0. 12.96 0. 9.83 0. 0. 0. 9.83 0. 0. 15.21 0.62 0. 0. 0. 0.62 0.16 0. 0. 0. 0. 0. 1. a) Explain how to use the central limit theorem to answer questions b), c) and d) below. b) What is the fastest route from A to B in terms of the expected travel time? c) What is the probability that route A D B is faster than A C B? d) What is the probability that route A D B is faster than A CD B?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Question 3.
In the transportation network below, let
X
the travel time on link i = 1, 2,....5
3
start A
B
5
From historical records, we have good estimations of the link travel times: 10, 12, 13, 4, and 16 minutes,
respectively for each link i = 1,2.....5. The covariance matrix is also known:
1.
0.
0. 12.96
0. 9.83
0. 0. 0.
9.83 0. 0.
15.21 0.62 0.
0.
0.
0.62 0.16 0.
0.
0.
0.
0. 1.
a) Explain how to use the central limit theorem to answer questions b), c) and d) below.
b) What is the fastest route from A to B in terms of the expected travel time?
c) What is the probability that route A D B is faster than A C B?
d) What is the probability that route A D B is faster than A CD B?
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