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Suppose X is a random variable with a mean of 10 and a variance of 100. Suppose Y is a random variable with a mean

Suppose X is a random variable with a mean of 10 and a variance of 100. Suppose Y is a random variable with a mean of 2 and a standard deviation of 16. Also, suppose X and Y are independent.

A) What is the mean of X + Y? Show work

B) What is the mean of 10X + 3Y? Must show calculations.

C) What is the correlation between X and Y? 1,0,10 or none?

D) What the variance of 5X - 2Y? Must show calculations.

E) What is the variance of -2X? Must show calculations.

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