Discussion Problem of The Day(17/06/2011)

[varsha]

Q-1) Consider a set X  = {A,B,C}

1) What is  X * X ?

2)How many relations is it possible to define on X ?

3) Give  a relation on X that is complete but not transitive.

4)Give  a relation on X that is transitive but not complete.

Q-2)  X has pdf as (x+1)/2 for  -1<=x<=1 , 0 elsewhere

         Let Y=X^2. Find pdf of Y.

[mahima]

answer for Q2:

[(y^0.5)+1]/[4(y^0.5)]