Question

A random variable X is normally distributed with a mean of 81 and a variance of...

A random variable 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

160

and a variance of

256

The random variables have a correlation coefficient equal to

negative 0.5

Find the mean and variance of the random variable below.

Wequals=55Xminus−88Y

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