12. Normal approximation to the binomial Consider a random variable X that has a binomial distribution with n=20 trials and p=0.6 for success on each trial. a) Give the mean and variance 2 for this random variable X. (use the formulas) b) Use the table to compute P(10X15) c) Compute this same probability using the normal approximation to the binomial, where the discrete (Xb) to continuous (Xn) conversion gives P(10Xb15)=P(9.5Xn15.5)