Question: A continuous RV, x has probability distribution function (PDF) as defined below: p(x)=k(x+1)=k(1x/2)forforax00x+b where k is a positive constant; and, a=1.2 and b=1.9. Determine the

A continuous RV, x has probability distribution function (PDF) as defined below: p(x)=k(x+1)=k(1x/2)forforax00x+b where k is a positive constant; and, a=1.2 and b=1.9. Determine the following: (i) Value of k (ii) Expected value, E[x] of the RV (iii) Second moment of the RV distribution (iv) Standard deviation of the RV distribution (vi) Cumulative distribution function, Pxx(x) Answer (Check!)

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