The normal approximation of the binomial distribution is appropriate when:
A)np ≥ 5
B)nq ≥ 5
C)np ≤ 5
D)nq ≤ 5 and np ≤ 5
E)np ≥ 5 and nq ≥ 5

Question

Quizplus · Accepted Answer

The normal approximation of the binomial distribution is appropriate when both np and nq are greater than or equal to 5 (E). This condition ensures that there are enough successes and failures in the sample to approximate a normal distribution.

The Normal Approximation of the Binomial Distribution Is Appropriate When