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A random variable X is normally distributed with a mean

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 200 and a variance of 400. The random variables have a correlation coefficient equal to 0.5. Find the mean and variance of the random variable:

W = 5X + 4Y

W = 5X + 4Y

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