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(Solved): 1. (SA - 4 pts.) A random variable \( X \) has probability density function \( f(x)=c \) \( x \) f ...



1. (SA - 4 pts.) A random variable \( X \) has probability density function \( f(x)=c \) \( x \) for states \( x \) in \( [0,

1. (SA - 4 pts.) A random variable \( X \) has probability density function \( f(x)=c \) \( x \) for states \( x \) in \( [0,2] \), where \( c \) is a constant. Find \( E[X] \). (Express your answer as a fraction \( a / b \) in reduced form.)


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