2.7 The order statistics for a random sample of size n from a discrete distribution are defined as in the continuous case except that now we have X(1)  X(2)      X(n). Suppose a random sample of size 5 is taken with replacement from the discrete distribution fX(x)¼1=6 for x¼1, 2, . . . , 6.

Find the probability mass function of X(1), the smallest order statistic.