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QUESTION
ps4 A random variable X has a density given by f X ( x ) = (1 x 2 ) [ u ( x ) u ( x 1) ] + a ( x 2 ) where u(x) is the unit step function and (x) is...
ps4
A random variable X has a density given by f X ( x ) = (1 − x 2 ) [ u ( x ) − u ( x − 1) ] + aδ ( x − 2 )
where u(x) is the unit step function and δ(x) is a delta function.
Find the value of a, E(X) and σ X2 .
