1 Find the inverse function of the distribution with density f(t) = t 202, t> 0. Find the mean, variance of the distribution. State the steps in details of the inverse transformation method to generate a random number from this distribution. (No R codes are needed) 2 Find the inverse function of the distribution B F(x) = 1 - x 0, r> 0, > 0. +x Find the mean, variance of the distribution. State the steps in details of the inverse transformation method to generate a random number from this distribution. (No R codes are needed) 2/3 3. Consider the following density f(x) = = 3 (1x), 1x 1. Find the mean, variance of the distribution. State the steps in details of the acceptance-rejection method to generate a random number from this distribution. (No R codes are needed)