3. Let X ~ Binomial (30, 0.4). (a) Find the exact P(8

3. Let X Binomial(30, OAL (a) Find the exact P (8 X 12) numerical form. Give your answer in numerical or fractional f rm. (b) Suggest the best normal distribution W that approx. X, in the sense that the cdf of VV best approx. the cdf of X. (c) Approximate the probability in (a) using the Normal distribution in (b), 0.5 cor- rection factor should be taken into consideration.