# Question: Use the binomial distribution with n 20 and

Use the binomial distribution with n = 20 and π = .5 to compare the 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).

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).

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