The normal probability distribution provides a very close approximation to the binomial probability distribution if np(1 - p) 5,where n is the number of trials and p is the probability of success in any trial.

Question

The normal probability distribution provides a very close approximation to the binomial probability distribution if np(1 - p)> 5,where n is the number of trials and p is the probability of success in any trial.

Quizplus · Accepted Answer

This statement is true. When np(1 - p) > 5, the binomial distribution is approximately normal using the continuity correction. This is because the requirements for using the normal distribution as an approximation are satisfied.

The Normal Probability Distribution Provides a Very Close Approximation to the Binomial