Question: A random variable X is normally distributed with mean of 50 and variance of 50, and a random variable Y is normally distributed with mean

A random variable X is normally distributed with mean of 50 and variance of 50, and a random variable Y is normally distributed with mean of 100 and variance of 200.

Given the random variables X and Y have a correlation coefficient equal to -0.50, calculate and compare the mean and variance of the followingrandom variables:

W = 4X - 3Y and Z = 4X + 3Y

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