Question 3 (1 point) Let X be a continuous random variable following a normal distribution N [u, ol You are assigned to find the statistics (PDF, mean value, standard deviation, etc.) of the random variable 1/x For this: You generate n random numbers following the N [u, o distribution, 21, 22, ... In, and evaluate the statistics of 1/x based on these random numbers. For example, the mean value of 1/x will be estimated as 1/1x where u x denotes the mean value of X O You generate n random numbers following the N [0, 1] distribution, X1, 22, ... *n, and evaluate the statistics of 1/x based on the random numbers 1/11, 1/12, .. 1/27 O You generate n random numbers following the N [u, o distribution, X1, 22, . . . Xn, and evaluate the statistics of 1/x based on the random numbers 1/11, 1/12, .. 1/6m You take the inverse of every quantity representing X. e.g.. mean value, standard deviation, skewness, etc. Question 4 (1 point) In order to perform Monte Carlo simulations for a problem, generation of random numbers following certain PDFs or PMFs is always required. True False