Use the binomial distribution with n = 20, π = .5 to compare accuracy of the normal approximation to the binomial.
a. Compute the exact probabilities and corresponding normal approximations for y = 5.
b. The normal approximation can be improved slightly by taking P(y = 4.5). Why should this help? Compare your results.
c. Compute the exact probabilities and corresponding normal approximations with the continuity correction for P(8 y 14).