You can use exp(x) function of math library, which is same as e^x. Hence you may write your code as:

import math
x.append(1 - math.exp( -0.5 * (value1*value2)**2))

I have modified the equation by replacing 1/2 as 0.5. Else for Python <2.7, we'll have to explicitly type cast the division value to float because Python round of the result of division of two int as integer. For example: 1/2 gives 0 in python 2.7 and below.

The function you're using is known as the sigmoid function. You can build a function that will calculate every sigmoid of x.

In order to use e^(x) you can use the numpy function exp as shown in the example.

Copyimport numpy as np

def sigmoid(x):
    return 1/(1+np.exp(-x))

if __name__ == '__main__':
    age = 15
    result = sigmoid(-6.78+(0.04*age))
    print(result)