Let the r.v Yn have a dist that is b(n,p)

(a) Prove that Yn / n converges in probability p. This result is one form of the weak law of large numbers.

(b) Prove that 1 - Yn / n converges in probability to 1-p

(c) Prove that (Yn / n)(1-Yn / n) converges in probability to p(1-p).