Please answer in Python Code taking into consideration the example output and Default Template. Thank you

Default Template

import numpy as np # import the correct module and function

x = int(input()) lam = int(input())

np.random.seed(seed=123)

# Generate 8 random numbers with a Poisson distribution with a mean of lam r1 = # Code for generating distribution

# Generate 20 random numbers with a Poisson distribution with a mean of lam r2 = # Code for generating distribution

# Generate 100 random numbers with a Poisson distribution with a mean of lam r3 = # Code for generating distribution

# Calculate the cumulative probability of x or fewer successes for a Poisson distribution with a mean of lam cp = # Code for cumulative probability print(f'Cumulative probability is {cp:.6f}')

# Calculate the theoretical mean of the Poisson distribution mean_theor = # Code for theoretical mean print("Theoretical mean is", mean_theor)

# Calculate the actual mean of r1, r2, and r3 mean_r1 = # Code for actual mean of r1 print(f'Mean of r1 is {mean_r1:.6f}')

mean_r2 = # Code for actual mean of r2 print(f'Mean of r2 is {mean_r2:.6f}')

mean_r3 = # Code for actual mean of r3 print(f'Mean of r3 is {mean_r3:.6f}')

The error I received when testing for the input 100 100

4.11 LAB: Poisson distribution - Generate a Poisson distribution r1 of 8 numbers with a user input mean, lam. - Generate a Poisson distribution r2 of 20 numbers with a mean of lam. - Generate a Poisson distribution r3 of 100 numbers with a mean of lam. - Find the cumulative probability of user defined integer x or fewer successes for a Poisson distribution with a mean of lam - Find the theoretical mean of the generated Poisson distributions - Calculate the actual means of r1, r2, and r3