1. The problem statement, all variables and given/known data Let the random variable Yn have the distribution b(n,p). a)Prove that Yn/n converges in probability p. b)Prove that 1 - Yn/n converges to 1 - p. c)Prove that (Yn/n)(1 - Yn/n) converges in probability to p(1-p) 2. Relevant equations 3. The attempt at a solution Note: when lim -> the limit of as n approaches infinity. a) lim Yn/n = lim Yn * lim 1/n. But the lim 1/n = 0 => lim Yn/n = 0. But it's supposed to converge to p. Where did I make the mistake?