Answered: a.) Find the standard deviation of Y…

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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Question

A delivery truck travels from point A to point B and back using the same route each day. There are four traffic lights on the route. Let x denote the number of red lights the truck encounters going from A to B and y denote the number encountered on the return trip. Data collected over a long period suggest that the joint probability distribution for (x, y) is given by:

a.) Find the standard deviation of Y
b.) What is the calculated covariance?
c.) What is the correlational value?

X
Y
1
2
3
4
0.01
0.01
0.03
0.07
0.01
1
0.03
0.05
0.08
0.03
0.02
2
0.03
0.11
0.15
0.01
0.01
3
0.02
0.07
0.10
0.03
0.01
4
0.01
0.06
0.03
0.01
0.01

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