The table below gives a joint probability distribution for X and Y. Pr{X = xnY= y} 0.1045 0.0288 0.0087 0.1312 0.0827 0.1055 X y 248.5 124.5 348.75 462.75 167.75 69 103.5 158.5 305.5 385.25 217 77.25 295.75 57 48.75 342.5 288.75 94.25 219.75 0.1402 303.5 339.75 0.1271 Calculate the correlation of X and Y. 320.25 355.75 240.5 CORR(X,Y)=[ 0.0131 0.0742 0.0684 0.1156

The table below gives a joint probability distribution for X and Y. Pr{X = xnY= y} 0.1045 0.0288 0.0087 0.1312 0.0827 0.1055 X y 248.5 124.5 348.75 462.75 167.75 69 103.5 158.5 305.5 385.25 217 77.25 295.75 57 48.75 342.5 288.75 94.25 219.75 0.1402 303.5 339.75 0.1271 Calculate the correlation of X and Y. 320.25 355.75 240.5 CORR(X,Y)=[ 0.0131 0.0742 0.0684 0.1156

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

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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Question

Joint Probability Question

The table below gives a joint probability distribution for X and Y.
Pr{X = xnY= y}
0.1045
0.0288
0.0087
0.1312
0.0827
0.1055
X
y
248.5
124.5
348.75 462.75
167.75
69
103.5 158.5
305.5 385.25
217
77.25
295.75
57
48.75
342.5 288.75
94.25 219.75
0.1402
303.5 339.75
0.1271
Calculate the correlation of X and Y.
320.25
355.75
240.5
CORR(X,Y)=
0.0131
0.0742
0.0684
0.1156
Note: the following should help if you are using R.
x: 124.5, 348.75, 167.75, 103.5, 305.5, 77.25, 295.75, 57, 48.75, 342.5, 94.25, 303.5
y: 248.5, 462.75, 69, 158.5, 385.25, 217, 320.25, 355.75, 240.5, 288.75, 219.75, 339.75
p: 0.1045, 0.0288, 0.0087, 0.1312, 0.0827, 0.1055, 0.0131, 0.0742, 0.0684, 0.1156, 0.1402, 0.1271

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