3. A delivery truck travels from point A to point B and back using the same route each day. There are fou 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 probability distribution for (X, Y) is given by X/Y 1 2 3 0.07 0.03 0.01 0.03 4 0.01 0.03 0.03 0.02 0.01 a. Is the random variables independent? support your answer. 0.01 0.03 0.01 0.02 0.01 0.01 0.01 1 0.05 0.08 0.11 0.07 0.06 0.15 3 0.10 4 0.03 0.01 b. Find P(X > 1, Y > 2) Find the correlation of the two random variables and interpret the findings
3. A delivery truck travels from point A to point B and back using the same route each day. There are fou 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 probability distribution for (X, Y) is given by X/Y 1 2 3 0.07 0.03 0.01 0.03 4 0.01 0.03 0.03 0.02 0.01 a. Is the random variables independent? support your answer. 0.01 0.03 0.01 0.02 0.01 0.01 0.01 1 0.05 0.08 0.11 0.07 0.06 0.15 3 0.10 4 0.03 0.01 b. Find P(X > 1, Y > 2) Find the correlation of the two random variables and interpret the findings
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
NEED ASAP
Indicate the units and draw the graph. Round off to four decimals or in lowest term if fraction.
Transcribed Image Text:3. 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
probability distribution for (X, Y) is given by
X/Y
1
0.01
0.05
0.11
3
4
0.01
0.03
0.07
0.01
1
0.03
0.08
0.03
0.01
0.02
0.03
0.15
0.01
3
4
0.10
0.03
0.02
0.07
0.06
0.03
0.01
0.01
0.01
0.01
a. Is the random variables independent? support your answer.
b. Find P(X > 1, Y> 2)
c. Find the correlation of the two random variables and interpret the findings
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