Two random variables X and Y are distributed with an unknown joint PDF. From simultaneous measurements, the data obtained are shown in the picture below.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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my question is under the image section.

Two random variables X and Y are distributed with an unknown joint PDF. From simultaneous
measurements, the data obtained are shown in the picture below.
1.5
0.5
-0.5
-1
-1.5
-2
-2.5
-2
-1.5
-1
-0.5
0.5
1.5
2
2.5
What can you infer about the value of the correlation coefficient among the two random
variables? Justify your answer.
Transcribed Image Text:Two random variables X and Y are distributed with an unknown joint PDF. From simultaneous measurements, the data obtained are shown in the picture below. 1.5 0.5 -0.5 -1 -1.5 -2 -2.5 -2 -1.5 -1 -0.5 0.5 1.5 2 2.5 What can you infer about the value of the correlation coefficient among the two random variables? Justify your answer.
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