Question: A continuous RV, x has cumulative probability distribution function (CDF) defined as follows: FX(x)=kx=[k/(ba)][bxx2/2]=1for0xaforaxbforx>b where a and b are arbitrary constants. Find the following given

A continuous RV, x has cumulative probability distribution function (CDF) defined as follows: FX(x)=kx=[k/(ba)][bxx2/2]=1for0xaforaxbforx>b where a and b are arbitrary constants. Find the following given that, a=0.75 and b=1.25 and k= 0.15. - Expected value of the RV - Second moment of the RV distribution - Standard deviation of the RV distribution - Suppose the value of (a=0.75) represents the median of the RV: x of the CDF indicated. Find the corresponding values of the set, (b,k) - PDF, fx(x) of x over the specified range of RV

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