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Let 
be a discrete random variable that is uniformly distributed over the set 
. Which of the following random variables is/are uniformly distributed?
Since X is uniformly distributed so probability of each symbol is equal to 
Since all symbols except 0 occur twice in this sequence
(B) 
Since all symbols occur only once in this sequence and hence this random variable is also uniformly distributed.
Else we can say that cubic function is one to one mapping so a uniformly distributed Random Variable is mapped to a uniformly distributed Random Variable.
(C) 
The values 25,16,9,4,1 occur twice while rest of all the values occur only once so this is not an uniformly distributed random variable.
(D) 
Since all symbols occur only once in this sequence and hence this random variable is also uniformly distributed.
Options (b) and (d) have no repeated samples.