Python Puzzles
If my super fancy puzzle website averages 12 visitors a day, what are the chances of the following?
Getting exactly 10 visitors a day?
Getting 10 or more visitors a day?
You will need to use a Poisson distribution to solve this problem.
The probability of getting exactly 10 visitors a day is 10%
The probability of getting 10 or more visitors a day is 75%
The code is pretty simple using Numpy.
size = 1_000_000 lam = 12 import numpy as np # generate a Poisson distribution with lambda=12 and size=1 million np_poisson = np.random.poisson(lam=lam, size=size) # calculate the probability of getting exactly 10 in a Poisson distribution filter = np_poisson == 10 new_arr = np_poisson[filter] print(np.size(new_arr)/size) # calculate the probability of getting exactly 10 or more in a Poisson distribution filter = np_poisson >= 10 new_arr = np_poisson[filter] print(np.size(new_arr)/size)