Cumulative sums of terms of the binomial distribution can be obtained directly from Tables of the Incomplete Beta-Function (Edited by Karl Pearson, Biometrika Office, University College, London, 1934), but owing to the conflict between the notation of the tables and that commonly used for the binomial distribution, the extraction of a binomial probability from the tables is particularly difficult on each new occasion, and even for continual use requires patience and care.
Tables of the incomplete beta-function. Cambridge, England: The University Press.