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A Carnival Game Costs $2 to Play

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A carnival game costs $2 to play. A player draws a ball at random from a sack containing 1 white ball, 2 blue balls, 3 red balls, and 4 yellow balls. The payoff for drawing a particular color ball is as follows: white pays $5, blue pays $4, red pays $3 and yellow pays nothing. If X is the amount of money a player wins. Calculate E(X). Enter just a real number rounded off to two decimal places (no label).


Definitions:

Manifest Content

In psychoanalytic theory, the literal surface content of a dream, as opposed to its hidden or symbolic meaning.

Repressed Memories

Memories suppressed without conscious effort due to their connection with significant trauma or stress.

Unconscious Wishes

Desires or thoughts that reside within the unconscious mind, influencing behavior without the individual's awareness.

Inferiority Complex

A psychological condition in which a person feels a deep sense of inadequacy and lacking in comparison to others.

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