A continuity correction is used when you want to use a normal distribution to approximate a binomial distribution.

This calculator allows you to apply a continuity correction to a normal distribution to find approximate probabilities for a binomial distribution.

Simply enter the appropriate values for a given binomial distribution below and then click the “Calculate” button.

n (number of trials)

X (number of successes)

p (probability of success in a given trial)

Exact binomial probabilities:

P(X = 3): 0.23040

P(X ≤ 3): 0.92196

P(X < 3): 0.68256

P(X ≥ 3): 0.31744

P(X > 3): 0.08704

Approximate probabilities using continuity correction:

P(2.5 < X < 3.5): 0.23040

P(X < 3.5): 0.92196

P(X < 2.5): 0.68256

P(X > 2.5): 0.31744

P(X > 3.5): 0.08704