Cumulative distribution function (hypergeometric)

I need to find out how to calculate the 'hypergeometric cdf':

I know how the function looks like and how it works but I have a few problems tipping the function into python:

def hypergeometricCDF(N,K,n,x):
"""
Call:
    p = hypergeometricCDF(N,K,n,x)
Input argument:
    N: integer
    K: integer
    n: integer
    x: integer
Output argument:
    p: float
Example:
    hypergeometricCDF(120,34,12,7)
    =>
    0.995786
"""
f=sum(range(x+1))
p = log_binomial_coeff(N-K,n-f) + log_binomial_coeff(K,f) - log_binomial_coeff(N,n)
return(p)

The problem is, how do I integrate the sum function from i to x? I tried it with sum(range(x+1)) but it won't work.

Solution

Try this:

def hypergeometricCDF(N,K,n,x):
"""
Call:
    p = hypergeometricCDF(N,K,n,x)
Input argument:
    N: integer
    K: integer
    n: integer
    x: integer
Output argument:
    p: float
Example:
    hypergeometricCDF(120,34,12,7)
    =>
    0.995786
"""
k = arange(x+1)
p = sum(exp(log_hypergeometricPMF(N,K,n,k)))
return(p)