Note that the sample space of X is not unique. For example, if Xâ¼Ber(p), then both {0,1} and R can serve as a sample space. However, in general, we associate a random variable with its smallest possible sample space (which would be {0,1} if Xâ¼Ber(p)). Find the smallest sample space for each of the following random variables. X1â¼Poiss(λ), a Poisson random variable with parameter λ : {0,1} {xâZ:xâ¥0} [0,[infinity]) (â[infinity],[infinity]).