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Developing Theoretical Probability Distributions, Expected Value Practice Test

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Q1

A game uses a bag containing 5 equally likely tickets labeled $A,B,C,D,E$. One ticket is drawn at random. Define the random variable $X$ by the mapping: $X=-2$ if $A$ is drawn; $X=0$ if $B$ or $C$ is drawn; and $X=3$ if $D$ or $E$ is drawn. What is the expected value of $X$ based on this theoretical model?

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