1. 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 X1 denote the number of red lights the truck encounters going from A to B and X2 denote the number encountered on the return trip. Data collected over a long period suggest that the joint probability distribution for (X1, X2) is given by X2 X1 3 4 0.01 0.01 0.01 0.03 0.07 1 0.03 0.05 0.08 0.03 0.02 0.01 0.03 0.02 0.15 0.10 0.11 0.01 0.03 3 0.07 0.01 4 0.01 0.06 0.03 0.01 0.01 (d) Give E(X1). (e) Give E(X2). (f) Give E[X1| X2=3). (g) Give the standard deviation of X1.
1. 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 X1 denote the number of red lights the truck encounters going from A to B and X2 denote the number encountered on the return trip. Data collected over a long period suggest that the joint probability distribution for (X1, X2) is given by X2 X1 3 4 0.01 0.01 0.01 0.03 0.07 1 0.03 0.05 0.08 0.03 0.02 0.01 0.03 0.02 0.15 0.10 0.11 0.01 0.03 3 0.07 0.01 4 0.01 0.06 0.03 0.01 0.01 (d) Give E(X1). (e) Give E(X2). (f) Give E[X1| X2=3). (g) Give the standard deviation of X1.
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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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 X1 denote the number of red lights the truck encounters going from A to B and X2 denote the number encountered on the return trip. Data collected over a long period suggest that the joint probability distribution for (X1, X2) is given by
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Transcribed Image Text:1. 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 X1 denote the number of
red lights the truck encounters going from A to B and X2 denote the number
encountered on the return trip. Data collected over a long period suggest that
the joint probability distribution for (X1, X2) is given by
X2
X1
3
4
0.01
0.01
0.01
0.03
0.07
1
0.03
0.05
0.08
0.03
0.02
0.03
0.02
0.15
0.10
0.01
0.01
0.11
0.01
0.03
3
0.07
4
0.01
0.06
0.03
0.01
0.01
(d) Give E(X1).
(e) Give E(X2).
(f) Give E[X1| X2=3).
(g) Give the standard deviation of X1.
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