Use the binomial distributaccuracy of the normal approximatbinomial distribution. n=20, pi=5a. 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 approximation with the continuity correction for P(8 < y < 14).

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Asked Feb 10, 2019
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Use the binomial distributaccuracy of the normal approximat
binomial distribution. n=20, pi=5
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 approximation with the continuity correction for P(8 < y < 14).

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Step 1

Given,

Y follows binomial distributon with n = 20, pi = 0.5.

Step 2

Part a). Compute the exact probabilities and corresponding normal approximations for y < 5.

 

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Step 3

Part b). The normal approximation can be improved slightly by taking P(y ≤ 4.5). Why should this help? Compare your results.

This step as known as continuity correction, we use it when continuous probability distribution is being used to approximate a Discrete Probability Distribution. For Example like the same that we are...

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