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

A First Course in Probability (10th Edition)
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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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