Exponentially distributed random generator (log function) in python?

I really need help as I am stuck at the begining of the code.

I am asked to create a function to investigate the exponential distribution on histogram. The function is x = −log(1−y)/λ. λ is a constant and I referred to that as lamdr in the code and simply gave it 10. I gave N (the number of random numbers) 10 and ran the code yet the results and the generated random numbers gave me totally different results; below you can find the code, I don't know what went wrong, hope you guys can help me!! (I use python 2)

import random
import math

N = raw_input('How many random numbers you request?: ')
N = int(N)
lamdr = raw_input('Enter a value:')
lamdr = int(lamdr)

def exprand(lamdr):
    y = []
    for i in range(N):
        y.append(random.uniform(0,1))
    return y
y = exprand(lamdr)
print 'Randomly generated numbers:', (y)

x = []
for w in y:
    x.append((math.log((1 - w) / lamdr)) * -1)
print 'Results:', x