Problem 2 (Simulation) For Unif(0,1) random variables U1, U2, . .. define n N1 = Minimum { n : Ui > 1 1 n N2 = Minimum { n : \\ Ui > 2 i=1 That is, N1 is equal to the number of random numbers that must be summed to exceed 1 and N2 is the number of random numbers that must be summed to exceed 2. (a) Estimate E[N1] by generating 100, 1000 and 10,000 values of N1 respectively. What do you think is the value of E[N1]? (b) Estimate E[N2] by generating 100, 1000, and 10,000 values of N2 respectively. You can use any software that you feel comfortable with in this