Let X be a random variable with probability density function

Let X be a random variable with probability density function Verify that the area under f(x) is 1. Fix the seed at 80 (set. seed(80)), and generate 10000 realizations of X with theta. What are the mean and variance of the random sample? Calculate the theoretical mean and variance of X. How close are the estimates in (b) to the theoretical values in (c)? Find the cumulative density function.