Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

Thank you so much! do this one please thank you so much! The Monte Carlo Method is also typically used to numerically compute an approximation

Thank you so much! do this one please thank you so much!
image text in transcribed
The Monte Carlo Method is also typically used to numerically compute an approximation of a quantity that is very hard or even impossible to compute like, e.g., integrals. Following up on Exercise 3 on Assignment 4, write a Python code to estimate the irrational number 3.1415926535897932384626433... based on the Monte Carlo Method. Specifically, recall that 0 and generate a sequence U1, U2,... of independent, on [0, variables to perform your MC estimation. uniformly distributed random As in Problem 1 above, plot your estimates for different numbers of used simulations n running from 1 to 1,000. Your plot should again illustrate how your estimate appears to converge to . ### Implement your MC simulation here ### Complete the plot commands accordingly plt" figure (figsze= (10,5)) plt.title("MC Simulation to estimate $pi") plt.plot (np.arange (1000),np.pi np.ones (1000),-color- "red",label-"True plt.xlabel ( "Number of simulations" plt.ylabel("Approximated Value" plt.legend (loc-"upper right")

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

More Books

Students also viewed these Databases questions