Question: A continuous random variable ( X ) has a probability density function ( f(x) = kx^2 ) for ( 0 leq x leq 1 )

  • A continuous random variable ( X ) has a probability density function ( f(x) = kx^2 ) for ( 0 \leq x \leq 1 ) and ( f(x) = 0 ) elsewhere. Find the value of ( k ) and calculate the expected value of ( X ).
 

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