Use the Monte Carlo method to estimate the following. 1 1.fo еxp(еxp(x)) dx 2. E(N) where N is defined as follows. Let {U ¡} be i.i.d. Unif(0,1). Define N=min{n: U 1+...+Un >1} Calculate N 100 times...

Extracted text: Use the Monte Carlo method to estimate the following. 1 1.fo еxp(еxp(x)) dx 2. E(N) where N is defined as follows. Let {U ¡} be i.i.d. Unif(0,1). Define N=min{n: U 1+...+Un >1} Calculate N 100 times and then compute the mean. (Also draw the histogram of results) Do it again, but not 1000 times. And do it again 10000 times. Comment on your findings.