Using python

In this homework you are supposed to use the random number generater random.random_sample from the numpy package to generate random numbers with three different distributions. Recall from the lecture that if F : R [0, 1] is a distribution function with generalized inverse F-1. [0,1] R and U is a uniform random variable, then F- (U) is a random variable with distribution function F Using the function random.random sample from numpy package write three functions: e exponentialRV(seed, mean,n) that returns for given seed a bunch of n random variables from an exponential distribution with the provided mean. Derive the generalized inverse distribution function analytically for your simulation. poissonRV(seed, mean,n) that returns for given seed a bunch of n Poisson distributed random numbers with the provided mean. You have to numerically calculate the inverse distribution function. e funnyDiceRV(seed,n) that returns for given seed a bunch of n random number which describe a biased die with distribution P(1]P(12]) P(3]) P(I4]) P(5)) 1/10 and P(6]) 12