Question: 6. Let the random variable I; have a distribution that is b (n, p) . (a) Prove that lit/H converges in probability p . This

6. Let the random variable I; have a distribution that is b (n, p) . (a) Prove that lit/H converges in probability p . This result is one form of the weak law of large numbers. (b) Prove that len converges in probability to 1 p. (c) Prove that (I; / n)(1 Iii) converges in probability to p(1p)

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