(text book: 4.88) Use the binomial distribution with n= 20, n = 0.5 to compareaccuracy of the normal approximation to the binomial.a. Compute the exact probabilities and corresponding normal approximations fory< 5b. 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 approximationswith the continuity correction for P(8 < y< 14)

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(text book: 4.88) Use the binomial distribution with n= 20, n = 0.5 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)

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