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 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 0.03 0.01 0.01 3 0.02 0.07 0.10 0.01 4 0.01 0.06 0.03 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
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 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 0.03 0.01 0.01 3 0.02 0.07 0.10 0.01 4 0.01 0.06 0.03 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
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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