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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A random variable X is normally distributed with mean of 50 and variance of 50,and a random variable Y is normally distributed with mean of 100 and variance of 200.
-Given the random variables X and Y have a correlation coefficient equal to 0.50,find the mean and variance of the random variable W = 4X+3Y.


Definitions:

Affective Component

Refers to the emotional aspect of attitudes, encompassing feelings or emotions linked to an attitude object.

Mere Exposure Effect

The phenomenon by which people tend to develop a preference for things merely because they are familiar with them.

Dissonance Theory

A psychological theory suggesting that inconsistency between a person's beliefs and behaviors causes discomfort, leading to efforts to reduce the inconsistency.

Unpleasant State

A condition or situation that causes discomfort or dissatisfaction.

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