Question: Let X be a continuous random variable with the density function 2 f(x) = 1 Let X be a continuous random variable with the density

Let X be a continuous random variable with the density function 2 f(x) = 1

Let X be a continuous random variable with the density function 2 O, elsewhere. Define a function that computes the kth moment of X for any k 2 1. (b) Use the function in (a) to obtain the variance of X. (c) Find the theoretical cdf of X , and explain how you could use it to simulate a realisation/observation from X.

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