How can I efficiently calculate the binomial cumulative distribution function?

Question

Let\'s say that I know the probability of a \"success\" is P. I run the test N times, and I see S successes. The test is akin to tossing an unevenly weighted coin (perhaps

Answer 1

I can't totally vouch for the efficiency, but Scipy has a module for this

from scipy.stats.distributions import binom
binom.cdf(successes, attempts, chance_of_success_per_attempt)