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Part 1

A random variable X is normally distributed with a mean of

100100

and a variance of

100100,

and a random variable Y is normally distributed with a mean of

190190

and a variance of

361361.

The random variables have a correlation coefficient equal to

0.50.5.

Find the mean and variance of the random variable below.

Wequals=44Xplus+66Y

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Part 1

mu Subscript Upper WWequals=enter your response here

(Do not round.)

Part 2

sigma Subscript Upper W Superscript 22Wequals=enter your response here

(Do not round.)