To use the normal approximation for the binomial distribution, which of the foll

Question

To use the normal approximation for the binomial distribution, which of the following must be true? A. number of trials must be variable AND greater than p times q B. trials must be dependent C. n times q >=p D. n times p >=5 To use the normal approximation for the binomial distribution, which of the following must be true? A. number of trials must be variable AND greater than p times q B. trials must be dependent C. n times q >=p D. n times p >=5 To use the normal approximation for the binomial distribution, which of the following must be true? A. number of trials must be variable AND greater than p times q B. trials must be dependent C. n times q >=p D. n times p >=5

Explanation / Answer

To use the normal approximation for the binomial distribution the following must be true.

D.    n times p >=5

Suppse: n=20, p=0.20

a normal approximation to binomial can not be used here. Because here, np=20*0.20=4 is less than 5 and np(1-p)=4*0.80=3.2 is less than 5.

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