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(Solved): A random variable \( \mathrm{X} \) is normally distributed with a mean of 81 and a variance of 81 , ...




A random variable \( \mathrm{X} \) is normally distributed with a mean of 81 and a variance of 81 , and a random variable \(
A random variable \( \mathrm{X} \) is normally distributed with a mean of 81 and a variance of 81 , 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. \[ W=8 X+5 Y \]


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A random variable x with mean and
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