In general, the binomial probability P(X x) is approximated by the area under the normal curve to the left of x + - .5.

Question

In general, the binomial probability P(X  x) is approximated by the area under the normal curve to the left of x + - .5.

Quizplus · Accepted Answer

This statement is known as the normal approximation to the binomial distribution. When n (sample size) is large and p (probability of success) is not too close to 0 or 1, the binomial distribution can be approximated by a normal distribution. In this case, the probability P(X < x) can be approximated by the area under the normal curve to the left of x + 0.5, where 0.5 is a continuity correction term.

In General, the Binomial Probability P(X X) Is Approximated