Statistics: When can you use the normal approximation to the binomial distribution?

Tutoring statistics, rules of usage are key. The tutor shares one about when the normal approximation to the binomial distribution can be used.

The binomial distribution imagines a series of n trials, each with probability p of success and q=(1-p) of failure. The number of successes in n trials is the random variable x.

Apparently, the binomial random variable x can be approximated to normal if np≥5 and also nq≥5.



PennState Eberly College of Science

Jack of Oracle Tutoring by Jack and Diane, Campbell River, BC.

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