Question

Suppose that XX is a random variable with mean 16 and standard deviation 5 . Also...

Suppose that XX is a random variable with mean 16 and standard deviation 5 . Also suppose that YY is a random variable with mean 36 and standard deviation 11 . Find the mean of the random variable ZZ for each of the following cases

(Give your answer to three decimal places.)

a) Z=3+10XZ=3+10X

μZμZ =

b) Z=3X−10Z=3X−10

μZμZ =

c) Z=X+YZ=X+Y

μZμZ =

d) Z=X−YZ=X−Y

μZμZ =

e) Z=−4X−3YZ=−4X−3Y

μZμZ =

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