Question: Q 10 A continuous RV, x has probability distribution function (PDF) defined as follows: fX(x)=(ax+b)=0 for0xu otherwise where a and b are arbitrary constants. Further,

Q 10 A continuous RV, x has probability distribution function (PDF) defined as follows: fX(x)=(ax+b)=0 for0xu otherwise where a and b are arbitrary constants. Further, the first moment of the RV,m1=k. Find the following, if u=7.1 and m1=k=2.58. (i) Coefficients, a and b in terms of u and k (ii) Second moment of the RV,m2 (iii) Standard deviation of the RV (iv) CDF of the RV in the range 0 to x,PX(X) Answer (Check!)

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