Question: 5.64 A random variable X is normally distributed with a mean of 250 and a variance of 16.81, and a random variable Y is normally

5.64 A random variable X is normally distributed with a mean of 250 and a variance of 16.81, and a random variable Y is normally distributed with a mean of 360 and a variance of 13.69. The random variables have a correlation coefficient equal to 0.05. Find the mean and variance of the random variable:

W = -X + 25Y

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