A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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Random variable X has mean μX = 24 and standard deviation σX = 6. Random variable Y has mean μY = 14 and standard deviation σY = 4. A new random variable Z was formed, where Z = X + Y. What can we conclude about X, Y, and Z with certainty? That is, which one is true?
Select one:
a.
μZ = 38 σZ = 7.211 X and Y are independent
b.
μZ = 38 σZ = unknown X and Y are independent
c.
μZ = 38 σZ = 6 X and Y are related
d.
μZ = 38 σZ = 10 X and Y are mutually exclusive
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