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Q54Section C (Section C)54 of 60

Cubic in the median of |X-1|

Let XX be a random variable with the probability density function f(x)={34x(2−x),0<x<2,0,otherwise.f(x)=\begin{cases}\dfrac{3}{4}x(2-x),&0<x<2,\\0,&\text{otherwise.}\end{cases} If Z=∣X−1∣Z=|X-1| and mm is the median of ZZ, then 12m−4m312m-4m^{3} equals __________ (in integer)

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