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A random variable X is normally distributed with a mean of 100 and a variance of...

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 180 and a variance of 324. The random variables have a correlation coefficient equal to −0.4. Find the mean and variance of the random variable below.W=2X−4Y

μW=

​(Type an integer or a​ decimal.)

σ2W=

​(Type an integer or a​ decimal.)

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