Exercise 4. Program in Python the inverse transform method to generate a random sample from a Binomial(n,p) random variable. Generate 3 samples of m = 500 values with the parameters
n = 10, p = 0.6
n = 15, p = 0.4
n = 30, p = 0.2
Exercise 5. Program in Python the probability mass function of a Poisson random variable with parameter λ.
Exercise 6. Make a histogram in python for each of the samples from Exercise 4. In each of the graphs, add the function from exercise 5 for λ = 6.