Question: A random variable X is normally distributed with a mean of 144 and a variance of 144, and a random variable Y is normally distributed

A random variable X is normally distributed with a mean of 144 and a variance of 144, and a random variable Y is normally distributed with a mean of 200 and a variance of 400. The random variables have a correlation coefficient equal to 0.6. Find the mean and variance of the random variable below.

W=8X+2Y

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