Normal Distribution

Normal Approximation to Binomial Calculator

Use this normal approximation to binomial calculator to approximate binomial probabilities using the normal distribution. Enter the number of trials, probability of success, and the value or range of interest, then click Calculate to see the probability with a step-by-step solution.

Number of Trials (n)

Probability of Success (p)

Enter p as a decimal between 0 and 1.

Probability Type

P(X ≤ x)

P(X < x)

P(X ≥ x)

P(X > x)

P(a ≤ X ≤ b)

Outside a and b

X Value (x)

Use continuity correction

About This Calculator

Prepared by Joseph Mburu · Updated on June 11, 2026

Joseph is an applied statistician and data analyst with over 6 years of experience helping students, researchers, and professionals solve statistics and data analysis problems. He holds a degree in Applied Statistics and a Master’s degree in Data…

We aim to keep our calculators accurate, easy to use, and helpful for learning. Always check that your inputs match the assumptions of the method you are using.