A binomial distribution with n number of trials,and probability of success p can be approximated well by a normal distribution with mean np and variance if np 5 and n(1-p) 5.

Question

A binomial distribution with n number of trials,and probability of success p can be approximated well by a normal distribution with mean np and variance  if np > 5 and n(1-p)> 5.

Quizplus · Accepted Answer

This statement is true. The normal approximation to the binomial distribution using mean np and variance np(1-p) is often used when np and n(1-p) are both greater than 5. This approximation works well because the distribution of a binomial experiment becomes more and more similar to a normal distribution as the number of trials increase.

A Binomial Distribution with N Number of Trials,and Probability of Success