Continuity Correction Calculator

Your details

Total number of independent Bernoulli trials. Must be a positive integer.
Probability of success on a single trial. Must be strictly between 0 and 1.
The specific count of successes you want to find the probability for.
Select the type of inequality matching your probability statement.
Approximate probabilityApproximation valid
0.096801

Normal-distribution probability after continuity correction

Mean (mu = n * p)50
Std dev (sigma)5
Z-score (upper bound)-1.3
Corrected intervalP(X < 43.5)
Approximation valid?Valid (np = 50.00, n(1-p) = 50.00, both >= 5)
0.09680153.9% below · Z-score

Approximate probability: 0.096801 (9.680%)

  • The approximating normal distribution has mean 50.00 and standard deviation 5.0000.
  • The continuity correction transforms the discrete statement X ≤ 43 into the continuous interval P(X < 43.5).
  • The z-score for the corrected upper bound is -1.3000.

Next stepFor a verification, compare this result against the exact binomial probability using a binomial CDF calculator.

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