Please show any formulas used in excel. Please show steps and add any screenshots and supporting documents.

A Monte Carlo simulation is to be used to estimate the value of . A. Explain how a Monte Carlo simulation could be used to estimate this integral (5 points). B. Conduct a Monte Carlo simulation using and Excel spreadsheet to estimate the above integral. Use 100 trials for your simulation. Construct a 90% confidence interval for your estimate based on 10 replications of your simulation. Submit your Excel spreadsheet as part of your answer (12 points). C. How many trials are necessary to improve the precision of your simulation by a factor of two? How did you arrive at this estimate? (3 points)