3.2 Let Ybe a Bernoulli random variable with success probability Pr( Y = 1 ) = p, and let Y1, . . . , K, be i.i.d. draws from this distribution. Let f) be the fraction of successes (Is) in this sample. a. Show that = Y. b. Show that is an unbiased estimator of p. c. Show that var() = p(1 p)