Question: Find some means. Suppose that X is a random variable with mean 20 and standard deviation 5. Also suppose that Y is a random variable

Find some means. Suppose that X is a random variable with mean 20 and standard deviation 5. Also suppose that Y is a random variable with mean 40 and standard deviation 10. Find the mean of the random variable Z for each of the following cases. Be sure to show your work.

(a) Z 5 2 1 10X.

(b) Z 5 10X 2 2.

(c) Z 5 X 1 Y.

(d) Z 5 X 2 Y.

(e) Z 5 23X 2 2Y.

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