Give an example of a sufficient statistic. We shall derive a sufficient statistic, T, for the parameter p of the family of Bernoulli distributions. We shall derive a sufficient statistic, T, for the parameter p of the family of Bernoulli distributions. The probability density function of the Bernoulli distribution is f(x) = px (1-P)1-x x = 0, 1, where p is the probability of success. (1)