5.63 A random variable X is normally distributed with a mean of 50 and a variance of...

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5.63 A random variable X is normally distributed with a mean of 50 and a variance of 5.76, and a random variable Y is normally distributed with a mean of 20 and a variance of 9.61. The random variables have a correlation coefficient equal to 0.88. Find the mean and variance of the random variable:

W = 14 X + 3Y

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