Under what circumstances is the normal approximation to the binomial distribution justified?
A)pn or qn ≥ 10
B)pn and qn ≥ 10
C)pn = qn
D)p + q = n

Question

Under what circumstances is the normal approximation to the binomial distribution justified?​
A)pn or qn ≥ 10
B)​pn and qn ≥ 10
C)​pn = qn
D)​p + q = n

Quizplus · Accepted Answer

The normal approximation to the binomial distribution is justified when both pn and qn are greater than or equal to 10, where p is the probability of success, q is the probability of failure (q = 1 - p), and n is the number of trials. This condition ensures that the binomial distribution is sufficiently symmetric and that there are enough occurrences of both outcomes for the normal approximation to be accurate.

Under What Circumstances Is the Normal Approximation to the Binomial