SIE431/531 Simulation Modeling and Analysis Homework 4 1. Use input analyzer in ARENA to determine the probability distribution function for the given data set, homework4data.txt. Justify your answer by showing: a) The name of the probability distribution function that fits the data (shown in the summary of the ARENA input analyzer); b) The test statistic for Kolmogorov Smirnov test (shown in the summary of the ARENA input analyzer); c) The critical value obtained from the table shown in the handout for the Kolmogorov Smirnov test; d) Your hypothesis; e) Your conclusion (i.e., if your hypothesis will be rejected or not at the 5% significance level) 2. Modify book example 4-5 to perform Monte Carlo simulation for estimating the value of pi based on Example 2 given in the handout for Monte Carlo Simulation (slide 4/5). a) Run the simulation by generating 10,000 random points; b) Run the simulation by generating 10,000,000 random points. Show the value of pi for the above two cases in the summary report. Show also the expression you use to calculate the value of pi