Question: Q 11 A continuous RV,x has cumulative probability distribution function (CDF) defined as follows: FX(x)=kxfor0xa=[k/(ba)][bxx2/2]foraxb=1forx>b where a and b are arbitrary constants. Find the following

Q 11 A continuous RV,x has cumulative probability distribution function (CDF) defined as follows: FX(x)=kxfor0xa=[k/(ba)][bxx2/2]foraxb=1forx>b where a and b are arbitrary constants. Find the following given that, a=0.55 and b=1.5 and k= 0.12. (i) Expected value of the RV (ii) Second moment of the RV distribution (iii) Standard deviation of the RV distribution (iv) PDF, fX(x) of x over the specified range of RV Answer (Check!)

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