5.4.4 Suppose we have a nite population H and a measurement X : l'I ) {0, l} where |H| = N and HE : X(7r) = OH = a. (a) Determine f X(0) and f X(l). Can you identify this population distribution? (b) For a simple random sample of size n, determine the probability that n f X(O) = x. (0) Under the assumption of i.i.d. sampling, determine the probability that n f X (0) = x