Mr jones has two jobs next year he will get a salary raise, Ask an Expert

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Mr. Jones has two jobs. Next year, he will get a salary raise of X thousand dollars from one employer and a salary raise of Y thousand dollars from his second. Suppose that X and Y are independent random variables with probability density functions f and g, respectively, where

431_probability density functions.png

What are the expected value and variance of the total raise that Mr. Jones will get next year?

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