Question: A random variable X is normally distributed with a mean of 100 and a variance of 100, and a random variable Y is normally distributed

A random variable X is normally distributed with a mean of 100 and a variance of 100, and a random variable Y is normally distributed with a mean of 190 and a variance of 361. The random variables have a correlation coefficient equal to -0.5. Find the mean and variance of the random variable below.

W = 3X - 2Y

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